An Invitation to Quantum Field Theory

ISBN-13: 9783642237270 / Angielski / Miękka / 2011 / 294 str.

Luis Alvarez-Gaume; Miguel A. Vazquez-Mozo; Miguel A. V. Zquez-Mozo

Opis

This 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.

Recenzje

From the reviews:

"The new work by Álvarez-Gaumé and Vázquez-Mozo looks like a good and concise introduction for the particle physics phenomenologist. ... The book is very compact ... and well written. ... The reader who takes it seriously can definitely learn a lot from this nice new book." (Ilya Shapiro, Mathematical Reviews, September, 2013)

"This book provides an introduction to Quantum Field Theory at an elementary level. ... Students will like this fresh approach to QFT based on lectures and courses given by the authors. ... readers whose acquaintance with mathematics is at an elementary ... level are likely to be the main beneficiaries of this book." (Gert Roepstorff, Zentralblatt MATH, Vol. 1232, 2012)

Spis treści

Why Do We Need Quantum Field Theory After All?.- From Classical to Quantum Fields.- Theories and Lagrangian I: Matter Fields.- Theories and Lagrangian II: Introducing Gauge Fields.- Theories and Lagrangian II: 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.- Notation, Conventions and Units.- A Crash Course in Group Theory.- Index.