Problem Book in Quantum Field Theory

Voja Radovanovic3540770135, 9783540770138

The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordon and Dirac equations, classical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. The solutions are presented in a systematic and complete manner. The material covered and the level of exposition make the book appropriate for graduate and undergraduate students in physics, as well as for teachers and researchers.

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Table of contents :
Cover……Page 1
Problem Book in Quantum Field Theory……Page 2
Part I Problems……Page 10
1 Lorentz and Poincare Symmetries……Page 11
2 The Klein–Gordon equation……Page 16
3 The γ–Matrices……Page 19
4 The Dirac Equation……Page 23
5 Classical Field Theory and Symmetries……Page 31
6 Green Functions……Page 37
7 Canonical Quantization of the Scalar Field……Page 41
8 Canonical Quantization of the Dirac Field……Page 48
9 Canonical Quantization of the Electromagnetic Field……Page 53
10 Processes in the Lowest Order of Perturbation Theory……Page 58
11 Renormalization and Regularization……Page 64
Part II Solutions……Page 68
1 Lorentz and Poincare Symmetries……Page 69
2 The Klein–Gordon equation……Page 79
3 The γ–Matrices……Page 87
4 The Dirac Equation……Page 95
5 Classical Field Theory and Symmetries……Page 122
6 Green Functions……Page 131
7 Canonical Quantization of the Scalar Field……Page 141
8 Canonical Quantization of the Dirac Field……Page 160
9 Canonical Quantization of the Electromagnetic Field……Page 178
10 Processes in the Lowest Order of Perturbation Theory……Page 190
11 Renormalization and regularization……Page 210
References……Page 238