A Multidisciplinary Approach to Quantum Field Theory, Volume 2

Quantum field theory is the theory of many-particle quantum systems. Just as quantum mechanics describes a single particle as both a particle and a wave, quantum field theory describes many-particle systems in terms of both particles and fields. The study of phase transitions using field theory has become a unifying theme across most areas of physics.

This second volume explores gauge theories and the renormalization group, with subsequent introductions to large-N methods, solitons and instantons, anomalies and finite-temperature field theory. Methods for the determination of the phase structure of field theories is a key theme of this book. This volume builds on the first and includes more references to original literature whilst exploring the central role field theory plays in modern physics. Graduate students studying particle, nuclear, and condensed matter physics are the key audience for this volume.

Key Features

• Emphasizes key concepts and techniques of field theory common across particle physics, nuclear physics, condensed matter physics and cosmology.
• Examples and problems from many areas of modern physics.
• Each chapter includes worked examples and exercises within the main body of the text, with more substantial problems at the end of each chapter.

量子場論是許多粒子量子系統的理論。就像量子力學描述單個粒子既是粒子又是波動一樣，量子場論描述多粒子系統既有粒子又有場。使用場論研究相變已成為物理學大部分領域的統一主題。

本書第二卷探討規範理論和重整化群，並介紹大N方法、孤立子和瞬子、反常和有限溫度場論。本書的重要主題是確定場論相結構的方法。本卷在第一卷的基礎上，更多地引用原始文獻，同時探討場論在現代物理學中的核心角色。本卷的主要讀者是研究粒子物理學、核物理學和凝態物理學的研究生。

主要特點：
- 強調粒子物理學、核物理學、凝態物理學和宇宙學中共同的場論概念和技術。
- 包含來自現代物理學各個領域的例子和問題。
- 每章在正文中包含解題示例和練習題，每章末還有更多的實際問題。