Methods of Contemporary Gauge Theory

Yuri Makeenko

doi:10.1017/9781009402095

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Kazakov, Vladimir and Zheng, Zechuan 2025. Bootstrap for finite N lattice Yang-Mills theory. Journal of High Energy Physics, Vol. 2025, Issue. 3,

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Yuri Makeenko, Institute of Theoretical and Experimental Physics, Moscow

Publisher:: Cambridge University Press
Online publication date:: July 2023
Print publication year:: 2023
Online ISBN:: 9781009402095
DOI:: https://doi.org/10.1017/9781009402095
Creative Commons:: This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0 https://creativecommons.org/creativelicenses

Subjects:: Particle Physics and Nuclear Physics, Physics and Astronomy, Theoretical Physics and Mathematical Physics
Series:: Cambridge Monographs on Mathematical Physics

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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. Originally published in 2002, this title has been reissued as an Open Access publication on Cambridge Core.

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