Quantum Field Theory

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 Ein Klassiker, aktualisiert und modernisiert. Sorgfältig strukturiert - mathematische Herleitungen werden bei den Grundlagen beginnend eingeführt. Mit vielen Anwendungen und neuen Informationen zu Funktionen, Pfadintegralen und Eichfeldern sowie zur Renormierungsgruppe. Die Kapitel zur elektroschwachen Wechselwirkung wurden überarbeitet und erweitert. Enthalten sind jetzt auch Ausführungen zur elektroschwachen Wechselwirkung von Quarks und zu Majorana-Neutrinos. 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 Compton scattering 113 7.2.3 Electron-electron scattering 116 7.2.4 Closed loops 117 7.3 Feynman Rules for QED 118 7.4 Leptons 121 Problems 124 8 QED Processes in Lowest Order 127 8.1 The Cross-Section 128 8.2 Spin Sums 131 8.3 Photon Polarization Sums 133 8.4 Lepton Pair Production in ( e + e ¿) Collisions 135 8.5 Bhabha Scattering 139 8.6 Compton Scattering 142 8.7 Scattering by an External Field 147 8.8 Bremsstrahlung 153 8.9 The Infrared Divergence 155 Problems 158 9 Radiative Corrections 161 9.1 The Second-Order Radiative Corrections of QED 162 9.2 The Photon Self-Energy 167 9.3 The Electron Self-Energy 172 9.4 External Line Renormalization 176 9.5 The Vertex Modification 178 9.6 Applications 183 9.6.1 T...

List of contents

Preface.
 
Notes.
 
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 (e+e-) 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 Renormal

Product details

• Authors: Mandl, F Mandl, Fran Mandl, Franz Mandl, Franz (University of Manchester) Shaw Mandl, Franz Shaw Mandl, Mandl Franz, Shaw, Graham Shaw, Graham G. Shaw, Shaw Graham
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Paperback / Softback
• Released: 09.04.2010
• EAN: 9780471496847
• ISBN: 978-0-471-49684-7
• No. of pages: 496
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; Physik, Quantenfeldtheorie, Physics, Quantum Physics & Field Theory, Quantenphysik u. Feldtheorie, Atom- u. Molekülphysik, Atomic and Molecular Physics