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Quantum Field Theory
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ISBN-13:
9780471496830
Veröffentl:
2010
Erscheinungsdatum:
08.06.2010
Seiten:
496
Autor:
Franz Mandl
Gewicht:
960 g
Format:
254x178x33 mm
Sprache:
Englisch
Beschreibung:
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.
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
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
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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.
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.