An Invitation to Quantum Field Theory

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Springer Science & Business Media, 26.11.2011 - 294 Seiten
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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.

 

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Inhalt

1 Why Do We Need Quantum Field Theory After All?
1
2 From Classical to Quantum Fields
11
3 Theories and Lagrangians I Matter Fields
33
4 Theories and Lagrangians II Introducing Gauge Fields
46
5 Theories and Lagrangians III The Standard Model
81
6 Towards Computational Rules Feynman Diagrams
100
7 Symmetries I Continuous Symmetries
127
8 Renormalization
145
10 The Origin of Mass
193
11 Symmetries II Discrete Symmetries
209
12 Effective Field Theories and Naturalness
231
13 Special Topics
261
Appendix A Notation Conventions and Units
274
Appendix B A Crash Course in Group Theory
277
References
288
Index
289

9 Anomalies
175

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