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An Invitation to Quantum Field Theory

โœ Scribed by Luis Alvarez-Gaumรฉ, Miguel A. Vรกzquez-Mozo (auth.)


Publisher
Springer-Verlag Berlin Heidelberg
Year
2012
Tongue
English
Leaves
307
Series
Lecture Notes in Physics 839
Edition
1
Category
Library

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โœฆ Synopsis


This book provides an introduction to Quantum Field Theory (QFT) at an elementary levelโ€”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.

โœฆ Table of Contents


Front Matter....Pages i-xi
Why Do We Need Quantum Field Theory After All?....Pages 1-9
From Classical to Quantum Fields....Pages 11-32
Theories and Lagrangians I: Matter Fields....Pages 33-45
Theories and Lagrangians II: Introducing Gauge Fields....Pages 47-79
Theories and Lagrangians III: The Standard Model....Pages 81-99
Towards Computational Rules: Feynman Diagrams....Pages 101-126
Symmetries I: Continuous Symmetries....Pages 127-144
Renormalization....Pages 145-173
Anomalies....Pages 175-192
The Origin of Mass....Pages 193-208
Symmetries II: Discrete Symmetries....Pages 209-230
Effective Field Theories and Naturalness....Pages 231-260
Special Topics....Pages 261-273
Back Matter....Pages 275-294

โœฆ Subjects


Elementary Particles, Quantum Field Theory;Quantum Field Theories, String Theory;Quantum Physics


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