Quantum Field Theory 2E, 2013 - Franz Mandl & Graham Shaw [Epub] Ehhhhseeders: 3
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Quantum Field Theory 2E, 2013 - Franz Mandl & Graham Shaw [Epub] Ehhhh (Size: 29.53 MB)
Description PLEASE SEED wrong image Written as a basic introduction to quantum field theory, this book explains the basic physics and formalism behind the theory, covers theory calculations using Feynman diagrams, and introduces the reader to gauge theories, which play such a central role in elementary particle physics. To help students fully understand this subject, mathematical formalism is developed from first principles, its physical interpretation is stressed at every point, and its use is illustrated in detailed applications. Chapters on electroweak interactions have also been reworked and include new material such as Majorana neutrinos. Table of Contents Dedication Preface 1 Photons and the Electromagnetic Field 1.1 Particles and Fields 1.2 The Electromagnetic Field in the Absence of Charges 1.3 The Electric Dipole Interaction 1.4 The Electromagnetic Field in the Presence of Charges 1.5 Appendix: The Schrödinger, Heisenberg and Interaction Pictures Problems 2 Lagrangian Field Theory 2.1 Relativistic Notation 2.2 Classical Lagrangian Field Theory 2.3 Quantized Lagrangian Field Theory 2.4 Symmetries and Conservation Laws Problems 3 The Klein–Gordon field 3.1 The Real Klein–Gordon Field 3.2 The Complex Klein–Gordon Field 3.3 Covariant Commutation Relations 3.4 The Meson Propagator Problems 4 The Dirac Field 4.1 The Number Representation for Fermions 4.2 The Dirac Equation 4.3 Second Quantization 4.4 The Fermion Propagator 4.5 The Electromagnetic Interaction and Gauge Invariance Problems 5 Photons: Covariant Theory 5.1 The Classical Fields 5.2 Covariant Quantization 5.3 The Photon Propagator Problems 6 The S-Matrix Expansion 6.1 Natural Dimensions and Units 6.2 The S-Matrix Expansion 6.3 Wick’s Theorem 7 Feynman Diagrams and Rules in QED 7.1 Feynman Diagrams in Configuration Space 7.2 Feynman Diagrams in Momentum Space 7.3 Feynman Rules for QED 7.4 Leptons Problems 8 QED Processes in Lowest Order 8.1 The Cross-Section 8.2 Spin Sums 8.3 Photon Polarization Sums 8.4 Lepton Pair Production in (eþe_) Collisions 8.5 Bhabha Scattering 8.6 Compton Scattering 8.7 Scattering by an External Field 8.8 Bremsstrahlung 8.9 The Infra-Red Divergence Problems 9 Radiative Corrections 9.1 The Second-Order Radiative Corrections of QED 9.2 The Photon Self-Energy 9.3 The Electron Self-Energy 9.4 External Line Renormalization 9.5 The Vertex Modification 9.6 Applications 9.7 The Infra-Red Divergence 9.8 Higher-Order Radiative Corrections 9.9 Renomalizability Problems 10 Regularization 10.1 Mathematical Preliminaries 10.2 Cut-Off Regularization: The Electron Mass Shift 10.3 Dimensional Regularization 10.4 Vacuum Polarization 10.5 The Anomalous Magnetic Moment Problems 11 Gauge Theories 11.1 The Simplest Gauge Theory: QED 11.2 Quantum Chromodynamics 11.3 Alternative Interactions? 11.4 Appendix: Two Gauge Transformation Results Problems 12 Field Theory Methods 12.1 Green Functions 12.2 Feynman Diagrams and Feynman Rules 12.3 Relation to S-Matrix Elements 12.4 Functionals and Grassmann Fields 12.5 The Generating Functional Problems 13 Path Integrals 13.1 Functional Integration 13.2 Path Integrals 13.3 Perturbation Theory 13.4 Gauge Independent Quantization? Problems 14 Quantum Chromodynamics 14.1 Gluon Fields 14.2 Including Quarks 14.3 Perturbation Theory 14.4 Feynman Rules for QCD 14.5 Renormalizability of QCD Problems 15 Asymptotic Freedom 15.1 Electron-Positron Annihilation 15.2 The Renormalization Scheme 15.3 The Renormalization Group 15.4 The Strong Coupling Constant 15.5 Applications 15.6 Appendix: Some Loop Diagrams in QCD Problems 16 Weak Interactions 16.1 Introduction 16.2 Leptonic Weak Interactions 16.3 The Free Vector Boson Field 16.4 The Feynman Rules for the IVB Theory 16.5 Decay Rates 16.6 Applications of the IVB Theory 16.7 Neutrino Masses 16.8 Difficulties with the IVB Theory Problems 17 A Gauge Theory of Weak Interactions 17.1 QED Revisited 17.2 Global Phase Transformations and Conserved Weak Currents 17.3 The Gauge-Invariant Electro-Weak Interaction 17.4 Properties of the Gauge Bosons 17.5 Lepton and Gauge Boson Masses 18 Spontaneous Symmetry Breaking 18.1 The Goldstone Model 18.2 The Higgs Model 18.3 The Standard Electro-Weak Theory 19 The Standard Electro–weak Theory 19.1 The Lagrangian Density in the Unitary Gauge 19.2 Feynman Rules 19.3 Elastic Neutrino–Electron Scattering 19.4 Electron–Positron Annihilation 19.5 The Higgs Boson Problems Appendix A Appendix B Index Sharing Widget |