TY - BOOK AU - Makeenko,Yuri TI - Methods of contemporary gauge theory T2 - Cambridge monographs on mathematical physics SN - 9781009402095 AV - QC793.3.G38 M35 2023 U1 - 530.1435 23 PY - 2023/// CY - Cambridge PB - Cambridge University Press KW - Gauge fields (Physics) N1 - Previously issued in print: 2002; Includes bibliographical references and index; Open access; Specialized N2 - 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 UR - https://doi.org/10.1017/9781009402095 ER -