Quantum fields on a lattice:
This book presents a comprehensive and coherent account of the theory of quantum fields on a lattice, an essential technique for the study of the strong and electroweak nuclear interactions. Quantum field theory describes basic physical phenomena over an extremely wide range of length or energy scal...
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| Sprache: | English |
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| Schriftenreihe: | Cambridge monographs on mathematical physics
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| Zusammenfassung: | This book presents a comprehensive and coherent account of the theory of quantum fields on a lattice, an essential technique for the study of the strong and electroweak nuclear interactions. Quantum field theory describes basic physical phenomena over an extremely wide range of length or energy scales. Quantum fields exist in space and time, which can be approximated by a set of lattice points. This approximation allows the application of powerful analytical and numerical techniques, and has provided a powerful tool for the study of both the strong and the electroweak interaction. After introductory chapters on scalar fields, gauge fields and fermion fields, the book studies quarks and gluons in QCD and fermions and bosons in the electroweak theory. The last chapter is devoted to numerical simulation algorithms which have been used in recent large-scale numerical simulations. The book will be valuable for graduate students and researchers in theoretical physics, elementary particle physics, and field theory, interested in non-perturbative approximations and numerical simulations of quantum field phenomena |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 491 pages) |
| ISBN: | 9780511470783 |
| DOI: | 10.1017/CBO9780511470783 |
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| 505 | 8 | |a 1. Introduction. 1.1. Historical remarks. 1.2. Path integral in quantum mechanics. 1.3. Euclidean quantum field theory. 1.4. Euclidean functional integrals. 1.5. Quantum field theory on a lattice. 1.6. Continuum limit and critical behaviour. 1.7. Renormalization group equations. 1.8. Thermodynamics of quantum fields -- 2. Scalar fields. 2.1. [phi [superscript 4]] model on the lattice. 2.2. Perturbation theory. 2.3. Hopping parameter expansions. 2.4. Luscher-Weisz solution and triviality of the continuum limit. 2.5. Finite-volume effects. 2.6. N-component model -- 3. Gauge fields. 3.1. Continuum gauge fields. 3.2. Lattice gauge fields and Wilson's action. 3.3. Perturbation theory. 3.4. Strong-coupling expansion. 3.5. Static quark potential. 3.6. Glueball spectrum. 3.7. Phase structure of lattice gauge theory -- 4. Fermion fields. 4.1. Fermionic variables. 4.2. Wilson fermions. 4.3. Kogut-Susskind staggered fermions. 4.4. Nielsen-Ninomiya theorem and mirror fermions. 4.5. QED on the lattice | |
| 505 | 8 | |a 5. Quantum chromodynamics. 5.1. Lattice action and continuum limit. 5.2. Hadron spectrum. 5.3. Broken chiral symmetry on the lattice. 5.4. Hadron thermodynamics -- 6. Higgs and Yukawa models. 6.1. Lattice Higgs models. 6.2. Lattice Yukawa models -- 7. Simulation algorithms. 7.1. Numerical simulation and Markov processes. 7.2. Metropolis algorithms. 7.3. Heatbath algorithms. 7.4. Fermions in numerical simulations. 7.5. Fermion algorithms based on differential equations. 7.6. Hybrid Monte Carlo algorithms. 7.7. Cluster algorithms -- 8. Appendix. 8.1. Notation conventions and basic formulas | |
| 520 | |a This book presents a comprehensive and coherent account of the theory of quantum fields on a lattice, an essential technique for the study of the strong and electroweak nuclear interactions. Quantum field theory describes basic physical phenomena over an extremely wide range of length or energy scales. Quantum fields exist in space and time, which can be approximated by a set of lattice points. This approximation allows the application of powerful analytical and numerical techniques, and has provided a powerful tool for the study of both the strong and the electroweak interaction. After introductory chapters on scalar fields, gauge fields and fermion fields, the book studies quarks and gluons in QCD and fermions and bosons in the electroweak theory. The last chapter is devoted to numerical simulation algorithms which have been used in recent large-scale numerical simulations. The book will be valuable for graduate students and researchers in theoretical physics, elementary particle physics, and field theory, interested in non-perturbative approximations and numerical simulations of quantum field phenomena | ||
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| 650 | 4 | |a Quantum field theory | |
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Datensatz im Suchindex
| _version_ | 1804176884392525824 |
|---|---|
| any_adam_object | |
| author | Montvay, I. |
| author_facet | Montvay, I. |
| author_role | aut |
| author_sort | Montvay, I. |
| author_variant | i m im |
| building | Verbundindex |
| bvnumber | BV043942018 |
| classification_rvk | UO 4000 UO 4020 |
| collection | ZDB-20-CBO |
| contents | 1. Introduction. 1.1. Historical remarks. 1.2. Path integral in quantum mechanics. 1.3. Euclidean quantum field theory. 1.4. Euclidean functional integrals. 1.5. Quantum field theory on a lattice. 1.6. Continuum limit and critical behaviour. 1.7. Renormalization group equations. 1.8. Thermodynamics of quantum fields -- 2. Scalar fields. 2.1. [phi [superscript 4]] model on the lattice. 2.2. Perturbation theory. 2.3. Hopping parameter expansions. 2.4. Luscher-Weisz solution and triviality of the continuum limit. 2.5. Finite-volume effects. 2.6. N-component model -- 3. Gauge fields. 3.1. Continuum gauge fields. 3.2. Lattice gauge fields and Wilson's action. 3.3. Perturbation theory. 3.4. Strong-coupling expansion. 3.5. Static quark potential. 3.6. Glueball spectrum. 3.7. Phase structure of lattice gauge theory -- 4. Fermion fields. 4.1. Fermionic variables. 4.2. Wilson fermions. 4.3. Kogut-Susskind staggered fermions. 4.4. Nielsen-Ninomiya theorem and mirror fermions. 4.5. QED on the lattice 5. Quantum chromodynamics. 5.1. Lattice action and continuum limit. 5.2. Hadron spectrum. 5.3. Broken chiral symmetry on the lattice. 5.4. Hadron thermodynamics -- 6. Higgs and Yukawa models. 6.1. Lattice Higgs models. 6.2. Lattice Yukawa models -- 7. Simulation algorithms. 7.1. Numerical simulation and Markov processes. 7.2. Metropolis algorithms. 7.3. Heatbath algorithms. 7.4. Fermions in numerical simulations. 7.5. Fermion algorithms based on differential equations. 7.6. Hybrid Monte Carlo algorithms. 7.7. Cluster algorithms -- 8. Appendix. 8.1. Notation conventions and basic formulas |
| ctrlnum | (ZDB-20-CBO)CR9780511470783 (OCoLC)849895322 (DE-599)BVBBV043942018 |
| dewey-full | 530.1/43 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/43 |
| dewey-search | 530.1/43 |
| dewey-sort | 3530.1 243 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/CBO9780511470783 |
| format | Electronic eBook |
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| id | DE-604.BV043942018 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511470783 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350988 |
| oclc_num | 849895322 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xii, 491 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge monographs on mathematical physics |
| spelling | Montvay, I. Verfasser aut Quantum fields on a lattice István Montvay, Gernot Münster Cambridge Cambridge University Press 1994 1 online resource (xii, 491 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on mathematical physics Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Introduction. 1.1. Historical remarks. 1.2. Path integral in quantum mechanics. 1.3. Euclidean quantum field theory. 1.4. Euclidean functional integrals. 1.5. Quantum field theory on a lattice. 1.6. Continuum limit and critical behaviour. 1.7. Renormalization group equations. 1.8. Thermodynamics of quantum fields -- 2. Scalar fields. 2.1. [phi [superscript 4]] model on the lattice. 2.2. Perturbation theory. 2.3. Hopping parameter expansions. 2.4. Luscher-Weisz solution and triviality of the continuum limit. 2.5. Finite-volume effects. 2.6. N-component model -- 3. Gauge fields. 3.1. Continuum gauge fields. 3.2. Lattice gauge fields and Wilson's action. 3.3. Perturbation theory. 3.4. Strong-coupling expansion. 3.5. Static quark potential. 3.6. Glueball spectrum. 3.7. Phase structure of lattice gauge theory -- 4. Fermion fields. 4.1. Fermionic variables. 4.2. Wilson fermions. 4.3. Kogut-Susskind staggered fermions. 4.4. Nielsen-Ninomiya theorem and mirror fermions. 4.5. QED on the lattice 5. Quantum chromodynamics. 5.1. Lattice action and continuum limit. 5.2. Hadron spectrum. 5.3. Broken chiral symmetry on the lattice. 5.4. Hadron thermodynamics -- 6. Higgs and Yukawa models. 6.1. Lattice Higgs models. 6.2. Lattice Yukawa models -- 7. Simulation algorithms. 7.1. Numerical simulation and Markov processes. 7.2. Metropolis algorithms. 7.3. Heatbath algorithms. 7.4. Fermions in numerical simulations. 7.5. Fermion algorithms based on differential equations. 7.6. Hybrid Monte Carlo algorithms. 7.7. Cluster algorithms -- 8. Appendix. 8.1. Notation conventions and basic formulas This book presents a comprehensive and coherent account of the theory of quantum fields on a lattice, an essential technique for the study of the strong and electroweak nuclear interactions. Quantum field theory describes basic physical phenomena over an extremely wide range of length or energy scales. Quantum fields exist in space and time, which can be approximated by a set of lattice points. This approximation allows the application of powerful analytical and numerical techniques, and has provided a powerful tool for the study of both the strong and the electroweak interaction. After introductory chapters on scalar fields, gauge fields and fermion fields, the book studies quarks and gluons in QCD and fermions and bosons in the electroweak theory. The last chapter is devoted to numerical simulation algorithms which have been used in recent large-scale numerical simulations. The book will be valuable for graduate students and researchers in theoretical physics, elementary particle physics, and field theory, interested in non-perturbative approximations and numerical simulations of quantum field phenomena Lattice field theory Quantum field theory Electroweak interactions Gauge fields (Physics) Gitterfeldtheorie (DE-588)4296098-8 gnd rswk-swf Gitterfeldtheorie (DE-588)4296098-8 s 1\p DE-604 Münster, Gernot Sonstige oth Erscheint auch als Druckausgabe 978-0-521-40432-7 Erscheint auch als Druckausgabe 978-0-521-59917-7 https://doi.org/10.1017/CBO9780511470783 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Montvay, I. Quantum fields on a lattice 1. Introduction. 1.1. Historical remarks. 1.2. Path integral in quantum mechanics. 1.3. Euclidean quantum field theory. 1.4. Euclidean functional integrals. 1.5. Quantum field theory on a lattice. 1.6. Continuum limit and critical behaviour. 1.7. Renormalization group equations. 1.8. Thermodynamics of quantum fields -- 2. Scalar fields. 2.1. [phi [superscript 4]] model on the lattice. 2.2. Perturbation theory. 2.3. Hopping parameter expansions. 2.4. Luscher-Weisz solution and triviality of the continuum limit. 2.5. Finite-volume effects. 2.6. N-component model -- 3. Gauge fields. 3.1. Continuum gauge fields. 3.2. Lattice gauge fields and Wilson's action. 3.3. Perturbation theory. 3.4. Strong-coupling expansion. 3.5. Static quark potential. 3.6. Glueball spectrum. 3.7. Phase structure of lattice gauge theory -- 4. Fermion fields. 4.1. Fermionic variables. 4.2. Wilson fermions. 4.3. Kogut-Susskind staggered fermions. 4.4. Nielsen-Ninomiya theorem and mirror fermions. 4.5. QED on the lattice 5. Quantum chromodynamics. 5.1. Lattice action and continuum limit. 5.2. Hadron spectrum. 5.3. Broken chiral symmetry on the lattice. 5.4. Hadron thermodynamics -- 6. Higgs and Yukawa models. 6.1. Lattice Higgs models. 6.2. Lattice Yukawa models -- 7. Simulation algorithms. 7.1. Numerical simulation and Markov processes. 7.2. Metropolis algorithms. 7.3. Heatbath algorithms. 7.4. Fermions in numerical simulations. 7.5. Fermion algorithms based on differential equations. 7.6. Hybrid Monte Carlo algorithms. 7.7. Cluster algorithms -- 8. Appendix. 8.1. Notation conventions and basic formulas Lattice field theory Quantum field theory Electroweak interactions Gauge fields (Physics) Gitterfeldtheorie (DE-588)4296098-8 gnd |
| subject_GND | (DE-588)4296098-8 |
| title | Quantum fields on a lattice |
| title_auth | Quantum fields on a lattice |
| title_exact_search | Quantum fields on a lattice |
| title_full | Quantum fields on a lattice István Montvay, Gernot Münster |
| title_fullStr | Quantum fields on a lattice István Montvay, Gernot Münster |
| title_full_unstemmed | Quantum fields on a lattice István Montvay, Gernot Münster |
| title_short | Quantum fields on a lattice |
| title_sort | quantum fields on a lattice |
| topic | Lattice field theory Quantum field theory Electroweak interactions Gauge fields (Physics) Gitterfeldtheorie (DE-588)4296098-8 gnd |
| topic_facet | Lattice field theory Quantum field theory Electroweak interactions Gauge fields (Physics) Gitterfeldtheorie |
| url | https://doi.org/10.1017/CBO9780511470783 |
| work_keys_str_mv | AT montvayi quantumfieldsonalattice AT munstergernot quantumfieldsonalattice |