PROBLEM BOOK IN QUANTUM FIELD THEORY

By ANDREW JACKSON

Part I Problems 1 Lorentz and Poincar´e symmetries 3 2 The Klein–Gordon equation 9 3 The?–matrices 13 4 TheDiracequation 17 5 Classical field theory and symmetries 25 6 Green functions 31 7 Canonical quantization of the scalar field 35 8 Canonical quantization of the Dirac field 43 9 Canonical quantization of the electromagnetic field 49 10 Processes in the lowest order of perturbation theory 55 11 Renormalization and regularization 61 Part II Solutions 1 Lorentz and Poincar´e symmetries 67 2 The Klein–Gordon equation 77 3 The?–matrices 85 4 TheDiracequation 93 5 Classical fields and symmetries 121 6 Green functions 131 7 Canonical quantization of the scalar field 141 8 Canonical quantization of the Dirac field 161 9 Canonical quantization of the electromagnetic field 179 10 Processes in the lowest order of the perturbation theory 191 11 Renormalization and regularization 211 References 239