Non-Perturbative Field Theory

This book provides a pedagogical exposition of non-perturbative methods in relativistic quantum field theory and explores two-dimensional and four-dimensional gauge dynamics. It is aimed at graduate students and researchers and covers topics from two-dimensional conformal symmetry to four-dimensional conformal invariance.

Format: Paperback / softback
Publication date: 27 July 2023
Publisher: Cambridge University Press

This book offers a fresh perspective on quantum field theory, presenting a pedagogical exposition of non-perturbative methods in relativistic quantum field theory while introducing the reader to modern research in theoretical physics. After providing a comprehensive description of non-perturbative methods, it employs these techniques to explore two-dimensional and four-dimensional gauge dynamics. The book concludes with a summary that highlights the interplay between two- and four-dimensional gauge theories. Designed for graduate students and researchers, this book covers a range of topics, including two-dimensional conformal symmetry, affine Lie algebras, solitons, integrable models, bosonization, and the t Hooft model. It also delves into four-dimensional conformal invariance, integrability, large N expansion, the Skyrme model, monopoles, and instantons. Thorough explanations are provided for applications, beginning with simple field theories and gauge dynamics in two dimensions, and then extending to gauge theories in four dimensions, particularly quantum chromodynamics. Originally published in 2010, this title has been reissued as an Open Access publication on Cambridge Core.

ISBN-13: 9781009401616