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...
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Format: | Elektronisch E-Book |
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Sprache: | English |
Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2014
|
Schlagworte: | |
Online-Zugang: | FHN01 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: | xxiii, 300 p |
ISBN: | 9789814556651 |
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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 | ||
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id | DE-604.BV044640243 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:57:57Z |
institution | BVB |
isbn | 9789814556651 |
language | English |
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physical | xxiii, 300 p |
psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
publishDate | 2014 |
publishDateSearch | 2014 |
publishDateSort | 2014 |
publisher | World Scientific Pub. Co. |
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spelling | Canonical quantum gravity fundamentals and recent developments Francesco Cianfrani ... [et al.] Singapore World Scientific Pub. Co. c2014 xxiii, 300 p txt rdacontent c rdamedia cr rdacarrier 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 Gravitation General relativity (Physics) Quantengravitation (DE-588)4124012-1 gnd rswk-swf Quantengravitation (DE-588)4124012-1 s 1\p DE-604 Cianfrani, Francesco Sonstige oth Erscheint auch als Druck-Ausgabe 9789814556644 http://www.worldscientific.com/worldscibooks/10.1142/8957#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Canonical quantum gravity fundamentals and recent developments Quantum gravity Gravitation General relativity (Physics) Quantengravitation (DE-588)4124012-1 gnd |
subject_GND | (DE-588)4124012-1 |
title | Canonical quantum gravity fundamentals and recent developments |
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 Francesco Cianfrani ... [et al.] |
title_fullStr | Canonical quantum gravity fundamentals and recent developments Francesco Cianfrani ... [et al.] |
title_full_unstemmed | Canonical quantum gravity fundamentals and recent developments Francesco Cianfrani ... [et al.] |
title_short | Canonical quantum gravity |
title_sort | canonical quantum gravity fundamentals and recent developments |
title_sub | fundamentals and recent developments |
topic | Quantum gravity Gravitation General relativity (Physics) Quantengravitation (DE-588)4124012-1 gnd |
topic_facet | Quantum gravity Gravitation General relativity (Physics) Quantengravitation |
url | http://www.worldscientific.com/worldscibooks/10.1142/8957#t=toc |
work_keys_str_mv | AT cianfranifrancesco canonicalquantumgravityfundamentalsandrecentdevelopments |