Quantum Field Theory: From Basics to Modern Topics

This modern text combines fundamental principles with advanced topics and recent techniques in a rigorous and self-contained treatment of quantum field theory.Beginning with a review of basic principles, starting with quantum mechanics and special relativity, students can refresh their knowledge of elementary aspects of quantum field theory and perturbative calculations in the Standard Model. Results and tools relevant to many applications are covered, including canonical quantization, path integrals, non-Abelian gauge theories, and the renormalization group. Advanced topics are explored, with detail given on effective field theories, quantum anomalies, stable extended field configurations, lattice field theory, and field theory at a finite temperature or in the strong field regime. Two chapters are dedicated to new methods for calculating scattering amplitudes (spinor-helicity, on-shell recursion, and generalized unitarity), equipping students with practical skills for research. Accessibly written, with numerous worked examples and end-of-chapter problems, this is an essential text for graduate students. The breadth of coverage makes it an equally excellent reference for researchers.

這本現代化的教材結合了基本原理、高級主題和最新技術，以嚴謹且自成體系的方式介紹量子場論。從基本原理開始回顧，包括量子力學和特殊相對論，學生可以重新瞭解量子場論和標準模型中的微擾計算等基本概念。書中涵蓋了許多應用相關的結果和工具，包括正規量子化、路徑積分、非阿貝爾規範理論和重整化群等。書中還探討了高級主題，詳細介紹了有效場論、量子反常、穩定擴展場構型、格點場論以及有限溫度或強場情況下的場論。書中有兩章專門介紹了計算散射振幅的新方法（自旋-螺旋度、在殼遞迴和廣義單位性），為學生提供了實用的研究技能。本書寫作通俗易懂，並附有大量的例題和章末問題，是研究生的必備教材。由於涵蓋範圍廣泛，也是研究人員的優秀參考書。