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Informationen zum Autor Franz Mandl is the author of Quantum Field Theory, 2nd Edition, published by Wiley. Graham Shaw is the author of Quantum Field Theory, 2nd Edition, published by Wiley. Klappentext Following on from the successful first (1984) and revised (1993) editions, this extended and revised text is designed as a short and simple introduction to quantum field theory for final year physics students and for postgraduate students beginning research in theoretical and experimental particle physics. The three main objectives of the book are to: * Explain the basic physics and formalism of quantum field theory * To make the reader proficient in theory calculations using Feynman diagrams * To introduce the reader to gauge theories, which play a central role in elementary particle physics. Thus, the first ten chapters deal with QED in the canonical formalism, and are little changed from the first edition. A brief introduction to gauge theories (Chapter 11) is then followed by two sections, which may be read independently of each other. They cover QCD and related topics (Chapters 12-15) and the unified electroweak theory (Chapters 16 - 19) respectively. Problems are provided at the end of each chapter. New to this edition: * Five new chapters, giving an introduction to quantum chromodynamics and the methods used to understand it: in particular, path integrals and the renormalization group. * The treatment of electroweak interactions has been revised and updated to take account of more recent experiments. Zusammenfassung Following on from the successful first (1984) and revised (1993) editions, this extended and revised text is designed as a short and simple introduction to quantum field theory for final year physics students and for postgraduate students beginning research in theoretical and experimental particle physics. Inhaltsverzeichnis Preface xi Notes xiii 1 Photons and the Electromagnetic Field 1 1.1 Particles and Fields 1 1.2 The Electromagnetic Field in the Absence of Charges 2 1.2.1 The classical field 2 1.2.2 Harmonic oscillator 5 1.2.3 The quantized radiation field 7 1.3 The Electric Dipole Interaction 9 1.4 The Electromagnetic Field in the Presence of Charges 14 1.4.1 Classical electrodynamics 14 1.4.2 Quantum electrodynamics 16 1.4.3 Radiative transitions in atoms 17 1.4.4 Thomson scattering 18 1.5 Appendix: The Schrödinger, Heisenberg and Interaction Pictures 20 Problems 22 2 Lagrangian Field Theory 25 2.1 Relativistic Notation 26 2.2 Classical Lagrangian Field Theory 27 2.3 Quantized Lagrangian Field Theory 30 2.4 Symmetries and Conservation Laws 31 Problems 37 3 The Klein-Gordon Field 39 3.1 The Real Klein-Gordon Field 39 3.2 The Complex Klein-Gordon Field 43 3.3 Covariant Commutation Relations 46 3.4 The Meson Propagator 48 Problems 53 4 The Dirac Field 55 4.1 The Number Representation for Fermions 55 4.2 The Dirac Equation 57 4.3 Second Quantization 61 4.3.1 The spin-statistics theorem 65 4.4 The Fermion Propagator 66 4.5 The Electromagnetic Interaction and Gauge Invariance 70 Problems 71 5 Photons: Covariant Theory 73 5.1 The Classical Fields 73 5.2 Covariant Quantization 77 5.3 The Photon Propagator 81 Problems 84 6 The S-Matrix Expansion 87 6.1 Natural Dimensions and Units 88 6.2 The S-Matrix Expansion 90 6.3 Wick's Theorem 94 7 Feynman Diagrams and Rules in QED 99 7.1 Feynman Diagrams in Configuration Space 100 7.2 Feynman Diagrams in Momentum Space 110 7.2.1 The first-order terms S (1) 112 7.2.2 Com...
