Franz Mandl, Graham Shaw

Quantum Field Theory (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 496
• Erscheinungstermin: 6. Juni 2013
• Englisch
• ISBN-13: 9781118716656
• Artikelnr.: 39042036

Autorenporträt

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.

Inhaltsangabe

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 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.