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oapen-20.500.12657-64018
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oapen-20.500.12657-640182023-07-20T02:52:25Z 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 bic Book Industry Communication::P Mathematics & 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. 2023-07-19T14:17:28Z 2023-07-19T14:17:28Z 2002 book ONIX_20230719_9781009402095_17 9781009402095 https://library.oapen.org/handle/20.500.12657/64018 eng application/pdf Attribution-NonCommercial-NoDerivatives 4.0 International 9781009402095.pdf Cambridge University Press 10.1017/9781009402095 10.1017/9781009402095 7607a2d0-47af-490f-9d2a-8c9340266f8a c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781009402095 SCOAP3 for Books [...] SCOAP3 open access
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OAPEN
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DSpace
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| language |
English
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| 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.
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| title |
9781009402095.pdf
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| spellingShingle |
9781009402095.pdf
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| title_short |
9781009402095.pdf
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| title_full |
9781009402095.pdf
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| title_fullStr |
9781009402095.pdf
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| title_full_unstemmed |
9781009402095.pdf
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| title_sort |
9781009402095.pdf
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| publisher |
Cambridge University Press
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| publishDate |
2023
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| _version_ |
1799945257263038464
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