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 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.