Methods of contemporary gauge theory:
This 2002 book introduces the quantum theory of gauge fields. Emphasis is placed on four non-perturbative methods: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models, all of which have important contemporary applications. Written as a textbook, it assumes a knowledg...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2002
|
| Schriftenreihe: | Cambridge monographs on mathematical physics
|
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This 2002 book introduces the quantum theory of gauge fields. Emphasis is placed on four non-perturbative methods: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models, all of which have important contemporary applications. Written as a textbook, it assumes a knowledge of quantum mechanics and elements of perturbation theory, while many relevant concepts are pedagogically introduced at a basic level in the first half of the book. The second half comprehensively covers large-N Yang-Mills theory. The book uses an approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and contains problems with detailed solutions to aid understanding. Suitable for advanced graduate courses in quantum field theory, the book will also be of interest to researchers in high energy theory and condensed matter physics as a survey of recent developments in gauge theory |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 417 pages) |
| ISBN: | 9780511535147 |
| DOI: | 10.1017/CBO9780511535147 |
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| 505 | 8 | 0 | |t Path Integrals |t Operator calculus |t Free propagator |t Euclidean formulation |t Path-ordering of operators |t Feynman disentangling |t Calculation of the Gaussian path integral |t Transition amplitudes |t Propagators in external field |t Second quantization |t Integration over fields |t Grassmann variables |t Perturbation theory |t Schwinger-Dyson equations |t Commutator terms |t Schwinger-Dyson equations (continued) |t Regularization |t Quantum anomalies from path integral |t QED via path integral |t Chiral Ward identity |t Chiral anomaly |t Chiral anomaly (calculation) |t Scale anomaly |t Instantons in quantum mechanics |t Double-well potential |t The instanton solution |t Instanton contribution to path integral |t Symmetry restoration by instantons |t Topological charge and [theta]-vacua |t Lattice Gauge Theories |t Observables in gauge theories |t Gauge invariance |t Phase factors (definition) |t Phase factors (properties) |t Aharonov-Bohm effect |t Gauge fields on a lattice |t Sites, links, plaquettes and all that |t Lattice formulation |t The Haar measure |t Wilson loops |t Strong-coupling expansion |t Area law and confinement |t Asymptotic scaling |t Lattice methods |t Phase transitions |t Mean-field method |t Mean-field method (variational) |t Lattice renormalization group |t Monte Carlo method |t Some Monte Carlo results |t Fermions on a lattice |t Chiral fermions |t Fermion doubling |t Kogut-Susskind fermions |t Wilson fermions |t Quark condensate |t Finite temperatures |t Feynman-Kac formula |
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Datensatz im Suchindex
| _version_ | 1804176884010844160 |
|---|---|
| any_adam_object | |
| author | Makeenko, Yuri 1951- |
| author_facet | Makeenko, Yuri 1951- |
| author_role | aut |
| author_sort | Makeenko, Yuri 1951- |
| author_variant | y m ym |
| building | Verbundindex |
| bvnumber | BV043941822 |
| classification_rvk | UO 4060 |
| collection | ZDB-20-CBO |
| contents | Path Integrals Operator calculus Free propagator Euclidean formulation Path-ordering of operators Feynman disentangling Calculation of the Gaussian path integral Transition amplitudes Propagators in external field Second quantization Integration over fields Grassmann variables Perturbation theory Schwinger-Dyson equations Commutator terms Schwinger-Dyson equations (continued) Regularization Quantum anomalies from path integral QED via path integral Chiral Ward identity Chiral anomaly Chiral anomaly (calculation) Scale anomaly Instantons in quantum mechanics Double-well potential The instanton solution Instanton contribution to path integral Symmetry restoration by instantons Topological charge and [theta]-vacua Lattice Gauge Theories Observables in gauge theories Gauge invariance Phase factors (definition) Phase factors (properties) Aharonov-Bohm effect Gauge fields on a lattice Sites, links, plaquettes and all that Lattice formulation The Haar measure Wilson loops Strong-coupling expansion Area law and confinement Asymptotic scaling Lattice methods Phase transitions Mean-field method Mean-field method (variational) Lattice renormalization group Monte Carlo method Some Monte Carlo results Fermions on a lattice Chiral fermions Fermion doubling Kogut-Susskind fermions Wilson fermions Quark condensate Finite temperatures Feynman-Kac formula |
| ctrlnum | (ZDB-20-CBO)CR9780511535147 (OCoLC)699085779 (DE-599)BVBBV043941822 |
| dewey-full | 530.14/35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/35 |
| dewey-search | 530.14/35 |
| dewey-sort | 3530.14 235 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/CBO9780511535147 |
| format | Electronic eBook |
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| id | DE-604.BV043941822 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511535147 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350792 |
| oclc_num | 699085779 |
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| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xii, 417 pages) |
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| publishDate | 2002 |
| publishDateSearch | 2002 |
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| series2 | Cambridge monographs on mathematical physics |
| spelling | Makeenko, Yuri 1951- Verfasser aut Methods of contemporary gauge theory Yuri Makeenko Cambridge Cambridge University Press 2002 1 online resource (xii, 417 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on mathematical physics Title from publisher's bibliographic system (viewed on 05 Oct 2015) Path Integrals Operator calculus Free propagator Euclidean formulation Path-ordering of operators Feynman disentangling Calculation of the Gaussian path integral Transition amplitudes Propagators in external field Second quantization Integration over fields Grassmann variables Perturbation theory Schwinger-Dyson equations Commutator terms Schwinger-Dyson equations (continued) Regularization Quantum anomalies from path integral QED via path integral Chiral Ward identity Chiral anomaly Chiral anomaly (calculation) Scale anomaly Instantons in quantum mechanics Double-well potential The instanton solution Instanton contribution to path integral Symmetry restoration by instantons Topological charge and [theta]-vacua Lattice Gauge Theories Observables in gauge theories Gauge invariance Phase factors (definition) Phase factors (properties) Aharonov-Bohm effect Gauge fields on a lattice Sites, links, plaquettes and all that Lattice formulation The Haar measure Wilson loops Strong-coupling expansion Area law and confinement Asymptotic scaling Lattice methods Phase transitions Mean-field method Mean-field method (variational) Lattice renormalization group Monte Carlo method Some Monte Carlo results Fermions on a lattice Chiral fermions Fermion doubling Kogut-Susskind fermions Wilson fermions Quark condensate Finite temperatures Feynman-Kac formula This 2002 book introduces the quantum theory of gauge fields. Emphasis is placed on four non-perturbative methods: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models, all of which have important contemporary applications. Written as a textbook, it assumes a knowledge of quantum mechanics and elements of perturbation theory, while many relevant concepts are pedagogically introduced at a basic level in the first half of the book. The second half comprehensively covers large-N Yang-Mills theory. The book uses an approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and contains problems with detailed solutions to aid understanding. Suitable for advanced graduate courses in quantum field theory, the book will also be of interest to researchers in high energy theory and condensed matter physics as a survey of recent developments in gauge theory Mathematische Physik Gauge fields (Physics) Mathematical physics Eichtheorie (DE-588)4122125-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Eichtheorie (DE-588)4122125-4 s 1\p DE-604 Quantentheorie (DE-588)4047992-4 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-02215-6 Erscheint auch als Druckausgabe 978-0-521-80911-5 https://doi.org/10.1017/CBO9780511535147 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Makeenko, Yuri 1951- Methods of contemporary gauge theory Path Integrals Operator calculus Free propagator Euclidean formulation Path-ordering of operators Feynman disentangling Calculation of the Gaussian path integral Transition amplitudes Propagators in external field Second quantization Integration over fields Grassmann variables Perturbation theory Schwinger-Dyson equations Commutator terms Schwinger-Dyson equations (continued) Regularization Quantum anomalies from path integral QED via path integral Chiral Ward identity Chiral anomaly Chiral anomaly (calculation) Scale anomaly Instantons in quantum mechanics Double-well potential The instanton solution Instanton contribution to path integral Symmetry restoration by instantons Topological charge and [theta]-vacua Lattice Gauge Theories Observables in gauge theories Gauge invariance Phase factors (definition) Phase factors (properties) Aharonov-Bohm effect Gauge fields on a lattice Sites, links, plaquettes and all that Lattice formulation The Haar measure Wilson loops Strong-coupling expansion Area law and confinement Asymptotic scaling Lattice methods Phase transitions Mean-field method Mean-field method (variational) Lattice renormalization group Monte Carlo method Some Monte Carlo results Fermions on a lattice Chiral fermions Fermion doubling Kogut-Susskind fermions Wilson fermions Quark condensate Finite temperatures Feynman-Kac formula Mathematische Physik Gauge fields (Physics) Mathematical physics Eichtheorie (DE-588)4122125-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4122125-4 (DE-588)4047992-4 |
| title | Methods of contemporary gauge theory |
| title_alt | Path Integrals Operator calculus Free propagator Euclidean formulation Path-ordering of operators Feynman disentangling Calculation of the Gaussian path integral Transition amplitudes Propagators in external field Second quantization Integration over fields Grassmann variables Perturbation theory Schwinger-Dyson equations Commutator terms Schwinger-Dyson equations (continued) Regularization Quantum anomalies from path integral QED via path integral Chiral Ward identity Chiral anomaly Chiral anomaly (calculation) Scale anomaly Instantons in quantum mechanics Double-well potential The instanton solution Instanton contribution to path integral Symmetry restoration by instantons Topological charge and [theta]-vacua Lattice Gauge Theories Observables in gauge theories Gauge invariance Phase factors (definition) Phase factors (properties) Aharonov-Bohm effect Gauge fields on a lattice Sites, links, plaquettes and all that Lattice formulation The Haar measure Wilson loops Strong-coupling expansion Area law and confinement Asymptotic scaling Lattice methods Phase transitions Mean-field method Mean-field method (variational) Lattice renormalization group Monte Carlo method Some Monte Carlo results Fermions on a lattice Chiral fermions Fermion doubling Kogut-Susskind fermions Wilson fermions Quark condensate Finite temperatures Feynman-Kac formula |
| title_auth | Methods of contemporary gauge theory |
| title_exact_search | Methods of contemporary gauge theory |
| title_full | Methods of contemporary gauge theory Yuri Makeenko |
| title_fullStr | Methods of contemporary gauge theory Yuri Makeenko |
| title_full_unstemmed | Methods of contemporary gauge theory Yuri Makeenko |
| title_short | Methods of contemporary gauge theory |
| title_sort | methods of contemporary gauge theory |
| topic | Mathematische Physik Gauge fields (Physics) Mathematical physics Eichtheorie (DE-588)4122125-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Mathematische Physik Gauge fields (Physics) Mathematical physics Eichtheorie Quantentheorie |
| url | https://doi.org/10.1017/CBO9780511535147 |
| work_keys_str_mv | AT makeenkoyuri methodsofcontemporarygaugetheory |