Alvarez-Gaumé L., Vázquez-Mozo M.A. An Invitation to Quantum Field Theory

Springer-Verlag Berlin, 2012, 294 Pages, ISBN: 3642237274This book provides an introduction to Quantum Field Theory (QFT) at an elementary level—with only special relativity, electromagnetism and quantum mechanics as prerequisites. For this fresh approach to teaching QFT, based on numerous lectures and courses given by the authors, a representative sample of topics has been selected containing some of the more innovative, challenging or subtle concepts. They are presented with a minimum of technical details, the discussion of the main ideas being more important than the presentation of the typically very technical mathematical details necessary to obtain the final results. Special attention is given to the realization of symmetries in particle physics: global and local symmetries, explicit, spontaneously broken, and anomalous continuous symmetries, as well as discrete symmetries. Beyond providing an overview of the standard model of the strong, weak and electromagnetic interactions and the current understanding of the origin of mass, the text enumerates the general features of renormalization theory as well as providing a cursory description of effective field theories and the problem of naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles derivation of the CPT theorem and the spin-statistics connection. As indicated by the title, the main aim of this text is to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most exciting and challenging aspects of this successful theoretical framework.Why Do We Need Quantum Field Theory After All?
From Classical to Quantum Fields
Theories and Lagrangians I: Matter Fields
Theories and Lagrangians II: Introducing Gauge Fields
Theories and Lagrangians III: The Standard Model
Towards Computational Rules: Feynman Diagrams
Symmetries I: Continuous Symmetries
Renormalization
Anomalies
The Origin of Mass
Symmetries II: Discrete Symmetries
Effective Field Theories and Naturalness
Special Topics