Canonical quantum gravity :: fundamentals and recent developments /
This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field. We start with an innovative and enlightening introduction to the formalism and concepts on which Ge...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, NJ :
World Scientific,
©2014.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field. We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler CDeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar CBarbero CImmirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler CDeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814556651 9814556653 1306941997 9781306941990 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn883374310 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 140428s2014 nju ob 001 0 eng d | ||
| 040 | |a IDEBK |b eng |e pn |c IDEBK |d OCLCQ |d OCLCO |d N$T |d STF |d YDXCP |d E7B |d OCLCF |d OCLCQ |d EBLCP |d CDX |d DEBSZ |d OCLCQ |d AGLDB |d OCLCQ |d NJR |d OCLCQ |d VTS |d OTZ |d YOU |d LEAUB |d UKAHL |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 019 | |a 883570282 | ||
| 020 | |a 9789814556651 |q (electronic bk.) | ||
| 020 | |a 9814556653 |q (electronic bk.) | ||
| 020 | |a 1306941997 |q (electronic bk.) | ||
| 020 | |a 9781306941990 |q (electronic bk.) | ||
| 035 | |a (OCoLC)883374310 |z (OCoLC)883570282 | ||
| 050 | 4 | |a QC178 |b .C35 2014eb | |
| 072 | 7 | |a SCI |x 024000 |2 bisacsh | |
| 072 | 7 | |a SCI |x 041000 |2 bisacsh | |
| 072 | 7 | |a SCI |x 055000 |2 bisacsh | |
| 082 | 7 | |a 530.14/3 |2 23 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Cianfrani, Francesco. |0 http://id.loc.gov/authorities/names/n2014023025 | |
| 245 | 1 | 0 | |a Canonical quantum gravity : |b fundamentals and recent developments / |c by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy). |
| 246 | 3 | 0 | |a Quantum gravity |
| 264 | 1 | |a Hackensack, NJ : |b World Scientific, |c ©2014. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 1. Introduction to general relativity. 1.1. Parametric manifold representation. 1.2. Tensor formalism. 1.3. Affine properties of the manifold. 1.4. Metric properties of the manifold. 1.5. Geodesic equation and parallel transport. 1.6. Levi-Civita tensor. 1.7. Volume element and covariant divergence. 1.8. Gauss and Stokes theorems. 1.9. The Riemann tensor. 1.10. Geodesic deviation. 1.11. Einstein's equations. 1.12. Vierbein representation -- 2. Elements of cosmology. 2.1. The Robertson-Walker geometry. 2.2. Kinematics of the Universe. 2.3. Isotropic Universe dynamics. 2.4. Universe thermal history. 2.5. Inflationary paradigm -- 3. Constrained Hamiltonian systems. 3.1. Preliminaries. 3.2. Constrained systems. 3.3. Canonical transformations. 3.4. Electromagnetic field -- 4. Lagrangian formulations. 4.1. Metric representation. 4.2. ADM formalism. 4.3. Boundary terms -- 5. Quantization methods. 5.1. Classical and quantum dynamics. 5.2. Weyl quantization. 5.3. GNS construction. 5.4. Polymer representation. 5.5. Quantization of Hamiltonian constraints -- 6. Quantum geometrodynamics. 6.1. The Hamiltonian structure of gravity. 6.2. ADM reduction of the Hamiltonian dynamics. 6.3. Quantization of the gravitational field. 6.4. Shortcomings of the Wheeler-DeWitt approach -- 7. Gravity as a gauge theory. 7.1. Gauge theories. 7.2. Gravity as a gauge theory of the Lorentz group? 7.3. Poincare gauge theory. 7.4. Holst action -- 8. Loop quantum gravity. 8.1. Smeared variables. 8.2. Hilbert space representation of the holonomy-flux algebra. 8.3. Kinematical constraints. 8.4. Geometrical operators: discrete spectra. 8.5. The scalar constraint operator. 8.6. Open issues in loop quantum gravity. 8.7. Master constraint and algebraic quantum gravity. 8.8. The picture of quantum spacetime -- 9. Quantum cosmology. 9.1. The minisuperspace model. 9.2. General behavior of Bianchi models. 9.3. Bianchi I model. 9.4. Bianchi IX model. 9.5. BKL conjecture. 9.6. Cosmology in LQG. | |
| 520 | |a This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field. We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler CDeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar CBarbero CImmirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler CDeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments. | ||
| 650 | 0 | |a Quantum gravity. |0 http://id.loc.gov/authorities/subjects/sh85109463 | |
| 650 | 0 | |a Gravitation. |0 http://id.loc.gov/authorities/subjects/sh85056558 | |
| 650 | 0 | |a General relativity (Physics) |0 http://id.loc.gov/authorities/subjects/sh85053765 | |
| 650 | 2 | |a Gravitation |0 https://id.nlm.nih.gov/mesh/D006112 | |
| 650 | 6 | |a Gravité quantique. | |
| 650 | 6 | |a Gravitation. | |
| 650 | 6 | |a Relativité générale (Physique) | |
| 650 | 7 | |a SCIENCE |x Energy. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a General relativity (Physics) |2 fast | |
| 650 | 7 | |a Gravitation |2 fast | |
| 650 | 7 | |a Quantum gravity |2 fast | |
| 700 | 1 | |a Lecian, Orchidea Maria, |d 1980- |1 https://id.oclc.org/worldcat/entity/E39PCjyJFCYQ4DkXDcQH4MXcfq |0 http://id.loc.gov/authorities/names/n2014023031 | |
| 700 | 1 | |a Lulli, Matteo. |0 http://id.loc.gov/authorities/names/n2014023036 | |
| 700 | 1 | |a Montani, Giovanni, |d 1966- |1 https://id.oclc.org/worldcat/entity/E39PCjKbD4VfbKVDdKbT4Hdgmm |0 http://id.loc.gov/authorities/names/n2014023039 | |
| 758 | |i has work: |a Canonical quantum gravity (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFKCrXRb7gpJBDGwXQqc8y |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Cianfrani, Francesco. |t Canonical quantum gravity |z 9789814556644 |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=810365 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH26877967 | ||
| 938 | |a Coutts Information Services |b COUT |n 28616124 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1730172 | ||
| 938 | |a ebrary |b EBRY |n ebr10895371 | ||
| 938 | |a EBSCOhost |b EBSC |n 810365 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis28616124 | ||
| 938 | |a YBP Library Services |b YANK |n 11964678 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn883374310 |
|---|---|
| _version_ | 1816882278420185088 |
| adam_text | |
| any_adam_object | |
| author | Cianfrani, Francesco |
| author2 | Lecian, Orchidea Maria, 1980- Lulli, Matteo Montani, Giovanni, 1966- |
| author2_role | |
| author2_variant | o m l om oml m l ml g m gm |
| author_GND | http://id.loc.gov/authorities/names/n2014023025 http://id.loc.gov/authorities/names/n2014023031 http://id.loc.gov/authorities/names/n2014023036 http://id.loc.gov/authorities/names/n2014023039 |
| author_facet | Cianfrani, Francesco Lecian, Orchidea Maria, 1980- Lulli, Matteo Montani, Giovanni, 1966- |
| author_role | |
| author_sort | Cianfrani, Francesco |
| author_variant | f c fc |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QC178 |
| callnumber-raw | QC178 .C35 2014eb |
| callnumber-search | QC178 .C35 2014eb |
| callnumber-sort | QC 3178 C35 42014EB |
| callnumber-subject | QC - Physics |
| collection | ZDB-4-EBA |
| contents | 1. Introduction to general relativity. 1.1. Parametric manifold representation. 1.2. Tensor formalism. 1.3. Affine properties of the manifold. 1.4. Metric properties of the manifold. 1.5. Geodesic equation and parallel transport. 1.6. Levi-Civita tensor. 1.7. Volume element and covariant divergence. 1.8. Gauss and Stokes theorems. 1.9. The Riemann tensor. 1.10. Geodesic deviation. 1.11. Einstein's equations. 1.12. Vierbein representation -- 2. Elements of cosmology. 2.1. The Robertson-Walker geometry. 2.2. Kinematics of the Universe. 2.3. Isotropic Universe dynamics. 2.4. Universe thermal history. 2.5. Inflationary paradigm -- 3. Constrained Hamiltonian systems. 3.1. Preliminaries. 3.2. Constrained systems. 3.3. Canonical transformations. 3.4. Electromagnetic field -- 4. Lagrangian formulations. 4.1. Metric representation. 4.2. ADM formalism. 4.3. Boundary terms -- 5. Quantization methods. 5.1. Classical and quantum dynamics. 5.2. Weyl quantization. 5.3. GNS construction. 5.4. Polymer representation. 5.5. Quantization of Hamiltonian constraints -- 6. Quantum geometrodynamics. 6.1. The Hamiltonian structure of gravity. 6.2. ADM reduction of the Hamiltonian dynamics. 6.3. Quantization of the gravitational field. 6.4. Shortcomings of the Wheeler-DeWitt approach -- 7. Gravity as a gauge theory. 7.1. Gauge theories. 7.2. Gravity as a gauge theory of the Lorentz group? 7.3. Poincare gauge theory. 7.4. Holst action -- 8. Loop quantum gravity. 8.1. Smeared variables. 8.2. Hilbert space representation of the holonomy-flux algebra. 8.3. Kinematical constraints. 8.4. Geometrical operators: discrete spectra. 8.5. The scalar constraint operator. 8.6. Open issues in loop quantum gravity. 8.7. Master constraint and algebraic quantum gravity. 8.8. The picture of quantum spacetime -- 9. Quantum cosmology. 9.1. The minisuperspace model. 9.2. General behavior of Bianchi models. 9.3. Bianchi I model. 9.4. Bianchi IX model. 9.5. BKL conjecture. 9.6. Cosmology in LQG. |
| ctrlnum | (OCoLC)883374310 |
| dewey-full | 530.14/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/3 |
| dewey-search | 530.14/3 |
| dewey-sort | 3530.14 13 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>07244cam a2200721 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn883374310</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">140428s2014 nju ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">IDEBK</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">IDEBK</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">N$T</subfield><subfield code="d">STF</subfield><subfield code="d">YDXCP</subfield><subfield code="d">E7B</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">EBLCP</subfield><subfield code="d">CDX</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">NJR</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">OTZ</subfield><subfield code="d">YOU</subfield><subfield code="d">LEAUB</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">883570282</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789814556651</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9814556653</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1306941997</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781306941990</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)883374310</subfield><subfield code="z">(OCoLC)883570282</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QC178</subfield><subfield code="b">.C35 2014eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI</subfield><subfield code="x">024000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI</subfield><subfield code="x">041000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI</subfield><subfield code="x">055000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">530.14/3</subfield><subfield code="2">23</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cianfrani, Francesco.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n2014023025</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Canonical quantum gravity :</subfield><subfield code="b">fundamentals and recent developments /</subfield><subfield code="c">by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy).</subfield></datafield><datafield tag="246" ind1="3" ind2="0"><subfield code="a">Quantum gravity</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Hackensack, NJ :</subfield><subfield code="b">World Scientific,</subfield><subfield code="c">©2014.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">1. Introduction to general relativity. 1.1. Parametric manifold representation. 1.2. Tensor formalism. 1.3. Affine properties of the manifold. 1.4. Metric properties of the manifold. 1.5. Geodesic equation and parallel transport. 1.6. Levi-Civita tensor. 1.7. Volume element and covariant divergence. 1.8. Gauss and Stokes theorems. 1.9. The Riemann tensor. 1.10. Geodesic deviation. 1.11. Einstein's equations. 1.12. Vierbein representation -- 2. Elements of cosmology. 2.1. The Robertson-Walker geometry. 2.2. Kinematics of the Universe. 2.3. Isotropic Universe dynamics. 2.4. Universe thermal history. 2.5. Inflationary paradigm -- 3. Constrained Hamiltonian systems. 3.1. Preliminaries. 3.2. Constrained systems. 3.3. Canonical transformations. 3.4. Electromagnetic field -- 4. Lagrangian formulations. 4.1. Metric representation. 4.2. ADM formalism. 4.3. Boundary terms -- 5. Quantization methods. 5.1. Classical and quantum dynamics. 5.2. Weyl quantization. 5.3. GNS construction. 5.4. Polymer representation. 5.5. Quantization of Hamiltonian constraints -- 6. Quantum geometrodynamics. 6.1. The Hamiltonian structure of gravity. 6.2. ADM reduction of the Hamiltonian dynamics. 6.3. Quantization of the gravitational field. 6.4. Shortcomings of the Wheeler-DeWitt approach -- 7. Gravity as a gauge theory. 7.1. Gauge theories. 7.2. Gravity as a gauge theory of the Lorentz group? 7.3. Poincare gauge theory. 7.4. Holst action -- 8. Loop quantum gravity. 8.1. Smeared variables. 8.2. Hilbert space representation of the holonomy-flux algebra. 8.3. Kinematical constraints. 8.4. Geometrical operators: discrete spectra. 8.5. The scalar constraint operator. 8.6. Open issues in loop quantum gravity. 8.7. Master constraint and algebraic quantum gravity. 8.8. The picture of quantum spacetime -- 9. Quantum cosmology. 9.1. The minisuperspace model. 9.2. General behavior of Bianchi models. 9.3. Bianchi I model. 9.4. Bianchi IX model. 9.5. BKL conjecture. 9.6. Cosmology in LQG.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field. We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler CDeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar CBarbero CImmirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler CDeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Quantum gravity.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85109463</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Gravitation.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85056558</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">General relativity (Physics)</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85053765</subfield></datafield><datafield tag="650" ind1=" " ind2="2"><subfield code="a">Gravitation</subfield><subfield code="0">https://id.nlm.nih.gov/mesh/D006112</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Gravité quantique.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Gravitation.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Relativité générale (Physique)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Energy.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Mechanics</subfield><subfield code="x">General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Physics</subfield><subfield code="x">General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">General relativity (Physics)</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Gravitation</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Quantum gravity</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lecian, Orchidea Maria,</subfield><subfield code="d">1980-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjyJFCYQ4DkXDcQH4MXcfq</subfield><subfield code="0">http://id.loc.gov/authorities/names/n2014023031</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lulli, Matteo.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n2014023036</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Montani, Giovanni,</subfield><subfield code="d">1966-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjKbD4VfbKVDdKbT4Hdgmm</subfield><subfield code="0">http://id.loc.gov/authorities/names/n2014023039</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Canonical quantum gravity (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCFKCrXRb7gpJBDGwXQqc8y</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Cianfrani, Francesco.</subfield><subfield code="t">Canonical quantum gravity</subfield><subfield code="z">9789814556644</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=810365</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH26877967</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Coutts Information Services</subfield><subfield code="b">COUT</subfield><subfield code="n">28616124</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest Ebook Central</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL1730172</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10895371</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">810365</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">cis28616124</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">11964678</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn883374310 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:26:04Z |
| institution | BVB |
| isbn | 9789814556651 9814556653 1306941997 9781306941990 |
| language | English |
| oclc_num | 883374310 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource |
| psigel | ZDB-4-EBA |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | Cianfrani, Francesco. http://id.loc.gov/authorities/names/n2014023025 Canonical quantum gravity : fundamentals and recent developments / by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy). Quantum gravity Hackensack, NJ : World Scientific, ©2014. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Print version record. 1. Introduction to general relativity. 1.1. Parametric manifold representation. 1.2. Tensor formalism. 1.3. Affine properties of the manifold. 1.4. Metric properties of the manifold. 1.5. Geodesic equation and parallel transport. 1.6. Levi-Civita tensor. 1.7. Volume element and covariant divergence. 1.8. Gauss and Stokes theorems. 1.9. The Riemann tensor. 1.10. Geodesic deviation. 1.11. Einstein's equations. 1.12. Vierbein representation -- 2. Elements of cosmology. 2.1. The Robertson-Walker geometry. 2.2. Kinematics of the Universe. 2.3. Isotropic Universe dynamics. 2.4. Universe thermal history. 2.5. Inflationary paradigm -- 3. Constrained Hamiltonian systems. 3.1. Preliminaries. 3.2. Constrained systems. 3.3. Canonical transformations. 3.4. Electromagnetic field -- 4. Lagrangian formulations. 4.1. Metric representation. 4.2. ADM formalism. 4.3. Boundary terms -- 5. Quantization methods. 5.1. Classical and quantum dynamics. 5.2. Weyl quantization. 5.3. GNS construction. 5.4. Polymer representation. 5.5. Quantization of Hamiltonian constraints -- 6. Quantum geometrodynamics. 6.1. The Hamiltonian structure of gravity. 6.2. ADM reduction of the Hamiltonian dynamics. 6.3. Quantization of the gravitational field. 6.4. Shortcomings of the Wheeler-DeWitt approach -- 7. Gravity as a gauge theory. 7.1. Gauge theories. 7.2. Gravity as a gauge theory of the Lorentz group? 7.3. Poincare gauge theory. 7.4. Holst action -- 8. Loop quantum gravity. 8.1. Smeared variables. 8.2. Hilbert space representation of the holonomy-flux algebra. 8.3. Kinematical constraints. 8.4. Geometrical operators: discrete spectra. 8.5. The scalar constraint operator. 8.6. Open issues in loop quantum gravity. 8.7. Master constraint and algebraic quantum gravity. 8.8. The picture of quantum spacetime -- 9. Quantum cosmology. 9.1. The minisuperspace model. 9.2. General behavior of Bianchi models. 9.3. Bianchi I model. 9.4. Bianchi IX model. 9.5. BKL conjecture. 9.6. Cosmology in LQG. This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field. We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler CDeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar CBarbero CImmirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler CDeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments. Quantum gravity. http://id.loc.gov/authorities/subjects/sh85109463 Gravitation. http://id.loc.gov/authorities/subjects/sh85056558 General relativity (Physics) http://id.loc.gov/authorities/subjects/sh85053765 Gravitation https://id.nlm.nih.gov/mesh/D006112 Gravité quantique. Gravitation. Relativité générale (Physique) SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh General relativity (Physics) fast Gravitation fast Quantum gravity fast Lecian, Orchidea Maria, 1980- https://id.oclc.org/worldcat/entity/E39PCjyJFCYQ4DkXDcQH4MXcfq http://id.loc.gov/authorities/names/n2014023031 Lulli, Matteo. http://id.loc.gov/authorities/names/n2014023036 Montani, Giovanni, 1966- https://id.oclc.org/worldcat/entity/E39PCjKbD4VfbKVDdKbT4Hdgmm http://id.loc.gov/authorities/names/n2014023039 has work: Canonical quantum gravity (Text) https://id.oclc.org/worldcat/entity/E39PCFKCrXRb7gpJBDGwXQqc8y https://id.oclc.org/worldcat/ontology/hasWork Print version: Cianfrani, Francesco. Canonical quantum gravity 9789814556644 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=810365 Volltext |
| spellingShingle | Cianfrani, Francesco Canonical quantum gravity : fundamentals and recent developments / 1. Introduction to general relativity. 1.1. Parametric manifold representation. 1.2. Tensor formalism. 1.3. Affine properties of the manifold. 1.4. Metric properties of the manifold. 1.5. Geodesic equation and parallel transport. 1.6. Levi-Civita tensor. 1.7. Volume element and covariant divergence. 1.8. Gauss and Stokes theorems. 1.9. The Riemann tensor. 1.10. Geodesic deviation. 1.11. Einstein's equations. 1.12. Vierbein representation -- 2. Elements of cosmology. 2.1. The Robertson-Walker geometry. 2.2. Kinematics of the Universe. 2.3. Isotropic Universe dynamics. 2.4. Universe thermal history. 2.5. Inflationary paradigm -- 3. Constrained Hamiltonian systems. 3.1. Preliminaries. 3.2. Constrained systems. 3.3. Canonical transformations. 3.4. Electromagnetic field -- 4. Lagrangian formulations. 4.1. Metric representation. 4.2. ADM formalism. 4.3. Boundary terms -- 5. Quantization methods. 5.1. Classical and quantum dynamics. 5.2. Weyl quantization. 5.3. GNS construction. 5.4. Polymer representation. 5.5. Quantization of Hamiltonian constraints -- 6. Quantum geometrodynamics. 6.1. The Hamiltonian structure of gravity. 6.2. ADM reduction of the Hamiltonian dynamics. 6.3. Quantization of the gravitational field. 6.4. Shortcomings of the Wheeler-DeWitt approach -- 7. Gravity as a gauge theory. 7.1. Gauge theories. 7.2. Gravity as a gauge theory of the Lorentz group? 7.3. Poincare gauge theory. 7.4. Holst action -- 8. Loop quantum gravity. 8.1. Smeared variables. 8.2. Hilbert space representation of the holonomy-flux algebra. 8.3. Kinematical constraints. 8.4. Geometrical operators: discrete spectra. 8.5. The scalar constraint operator. 8.6. Open issues in loop quantum gravity. 8.7. Master constraint and algebraic quantum gravity. 8.8. The picture of quantum spacetime -- 9. Quantum cosmology. 9.1. The minisuperspace model. 9.2. General behavior of Bianchi models. 9.3. Bianchi I model. 9.4. Bianchi IX model. 9.5. BKL conjecture. 9.6. Cosmology in LQG. Quantum gravity. http://id.loc.gov/authorities/subjects/sh85109463 Gravitation. http://id.loc.gov/authorities/subjects/sh85056558 General relativity (Physics) http://id.loc.gov/authorities/subjects/sh85053765 Gravitation https://id.nlm.nih.gov/mesh/D006112 Gravité quantique. Gravitation. Relativité générale (Physique) SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh General relativity (Physics) fast Gravitation fast Quantum gravity fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85109463 http://id.loc.gov/authorities/subjects/sh85056558 http://id.loc.gov/authorities/subjects/sh85053765 https://id.nlm.nih.gov/mesh/D006112 |
| title | Canonical quantum gravity : fundamentals and recent developments / |
| title_alt | Quantum gravity |
| title_auth | Canonical quantum gravity : fundamentals and recent developments / |
| title_exact_search | Canonical quantum gravity : fundamentals and recent developments / |
| title_full | Canonical quantum gravity : fundamentals and recent developments / by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy). |
| title_fullStr | Canonical quantum gravity : fundamentals and recent developments / by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy). |
| title_full_unstemmed | Canonical quantum gravity : fundamentals and recent developments / by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy). |
| title_short | Canonical quantum gravity : |
| title_sort | canonical quantum gravity fundamentals and recent developments |
| title_sub | fundamentals and recent developments / |
| topic | Quantum gravity. http://id.loc.gov/authorities/subjects/sh85109463 Gravitation. http://id.loc.gov/authorities/subjects/sh85056558 General relativity (Physics) http://id.loc.gov/authorities/subjects/sh85053765 Gravitation https://id.nlm.nih.gov/mesh/D006112 Gravité quantique. Gravitation. Relativité générale (Physique) SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh General relativity (Physics) fast Gravitation fast Quantum gravity fast |
| topic_facet | Quantum gravity. Gravitation. General relativity (Physics) Gravitation Gravité quantique. Relativité générale (Physique) SCIENCE Energy. SCIENCE Mechanics General. SCIENCE Physics General. Quantum gravity |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=810365 |
| work_keys_str_mv | AT cianfranifrancesco canonicalquantumgravityfundamentalsandrecentdevelopments AT lecianorchideamaria canonicalquantumgravityfundamentalsandrecentdevelopments AT lullimatteo canonicalquantumgravityfundamentalsandrecentdevelopments AT montanigiovanni canonicalquantumgravityfundamentalsandrecentdevelopments AT cianfranifrancesco quantumgravity AT lecianorchideamaria quantumgravity AT lullimatteo quantumgravity AT montanigiovanni quantumgravity |