Methods of Contemporary Gauge Theory
This book introduces the quantum theory of gauge fields, emphasising four non-perturbative methods which have important applications: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models. Written as a textbook, it assumes a knowledge of quantum mechanics and elements...
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| Үндсэн зохиолч: | |
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| Формат: | Online |
| Хэл сонгох: | англи |
| Хэвлэсэн: |
Cambridge University Press
2023
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| Нөхцлүүд: | |
| Онлайн хандалт: | ONIX_20230719_9781009402095_17 |
| Шошгууд: |
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
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| _version_ | 1869518315171348480 |
|---|---|
| author | Makeenko, Yuri |
| author_browse | Makeenko, Yuri |
| author_facet | Makeenko, Yuri |
| author_sort | Makeenko, Yuri |
| collection | Directory of Open Access Books |
| description | This book introduces the quantum theory of gauge fields, emphasising four non-perturbative methods which have important applications: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models. Written as a textbook, it assumes a knowledge of quantum mechanics and elements of perturbation theory, while many relevant concepts are 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 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. |
| format | Online |
| id | doab-20.500.12854ir-107888 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | Cambridge University Press |
| publisherStr | Cambridge University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1078882025-07-17T10:01:21Z Methods of Contemporary Gauge Theory Makeenko, Yuri path Integrals operator calculus second quantization quantum anomalies instantons lattice gauge theories gauge fields on a lattice lattice methods fermions on a lattice finite temperatures 1/N expansion O(N) vector models multicolor QCD QCD in loop space matrix models reduced models Eguchi–Kawai model twisted reduced models non-commutative gauge theories Textbook thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics This book introduces the quantum theory of gauge fields, emphasising four non-perturbative methods which have important applications: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models. Written as a textbook, it assumes a knowledge of quantum mechanics and elements of perturbation theory, while many relevant concepts are 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 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. 2023-07-26T19:48:49Z 2023-07-26T19:48:49Z 2023-07-19T14:17:28Z 2002 book ONIX_20230719_9781009402095_17 OCN: 70755787 https://library.oapen.org/handle/20.500.12657/64018 9781009402095 https://directory.doabooks.org/handle/20.500.12854/107888 eng open access image/jpeg image/jpeg image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/64018/1/9781009402095.pdf https://library.oapen.org/bitstream/20.500.12657/64018/1/9781009402095.pdf https://library.oapen.org/bitstream/20.500.12657/64018/1/9781009402095.pdf Cambridge University Press 10.1017/9781009402095 10.1017/9781009402095 12615a55-20f1-4eb5-a6c9-5eb6541f63e5 SCOAP3 c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781009402095 SCOAP3 for Books [...] open access |
| spellingShingle | path Integrals operator calculus second quantization quantum anomalies instantons lattice gauge theories gauge fields on a lattice lattice methods fermions on a lattice finite temperatures 1/N expansion O(N) vector models multicolor QCD QCD in loop space matrix models reduced models Eguchi–Kawai model twisted reduced models non-commutative gauge theories Textbook thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics Makeenko, Yuri Methods of Contemporary Gauge Theory |
| title | Methods of Contemporary Gauge Theory |
| title_full | Methods of Contemporary Gauge Theory |
| title_fullStr | Methods of Contemporary Gauge Theory |
| title_full_unstemmed | Methods of Contemporary Gauge Theory |
| title_short | Methods of Contemporary Gauge Theory |
| title_sort | methods of contemporary gauge theory |
| topic | path Integrals operator calculus second quantization quantum anomalies instantons lattice gauge theories gauge fields on a lattice lattice methods fermions on a lattice finite temperatures 1/N expansion O(N) vector models multicolor QCD QCD in loop space matrix models reduced models Eguchi–Kawai model twisted reduced models non-commutative gauge theories Textbook thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics |
| topic_facet | path Integrals operator calculus second quantization quantum anomalies instantons lattice gauge theories gauge fields on a lattice lattice methods fermions on a lattice finite temperatures 1/N expansion O(N) vector models multicolor QCD QCD in loop space matrix models reduced models Eguchi–Kawai model twisted reduced models non-commutative gauge theories Textbook thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics |
| url | ONIX_20230719_9781009402095_17 |
| work_keys_str_mv | AT makeenkoyuri methodsofcontemporarygaugetheory |