Quantum Field Theory

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ISBN: 9780471496830 | 0471496839
Cover: Hardcover
Copyright: 5/24/2010

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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.

Dedication
Preface
Photons and the Electromagnetic Field
Particles and Fields
The Electromagnetic Field in the Absence of Charges
The Electric Dipole Interaction
The Electromagnetic Field in the Presence of Charges
Appendix: The Schrödinger, Heisenberg and Interaction Pictures
Problems
Lagrangian Field Theory
Relativistic Notation
Classical Lagrangian Field Theory
Quantized Lagrangian Field Theory
Symmetries and Conservation Laws
Problems
The KleinGordon field
The Real KleinGordon Field
The Complex KleinGordon Field
Covariant Commutation Relations
The Meson Propagator
Problems
The Dirac Field
The Number Representation for Fermions
The Dirac Equation
Second Quantization
The Fermion Propagator
The Electromagnetic Interaction and Gauge Invariance
Problems
Photons: Covariant Theory
The Classical Fields
Covariant Quantization
The Photon Propagator
Problems
The S-Matrix Expansion
Natural Dimensions and Units
The S-Matrix Expansion
Wic's Theorem
Feynman Diagrams and Rules in QED
Feynman Diagrams in Configuration Space
Feynman Diagrams in Momentum Space
Feynman Rules for QED
Leptons
Problems
QED Processes in Lowest Order
The Cross-Section
Spin Sums
Photon Polarization Sums
Lepton Pair Production in (eþe_) Collisions
Bhabha Scattering
Compton Scattering
Scattering by an External Field
Bremsstrahlung
The Infra-Red Divergence
Problems
Radiative Corrections
The Second-Order Radiative Corrections of QED
The Photon Self-Energy
The Electron Self-Energy
External Line Renormalization
The Vertex Modification
Applications
The Infra-Red Divergence
Higher-Order Radiative Corrections
Renomalizability
Problems
Regularization
Mathematical Preliminaries
Cut-Off Regularization: The Electron Mass Shift
Dimensional Regularization
Vacuum Polarization
The Anomalous Magnetic Moment
Problems
Gauge Theories
The Simplest Gauge Theory: QED
Quantum Chromodynamics
Alternative Interactions?
Appendix: Two Gauge Transformation Results
Problems
Field Theory Methods
Green Functions
Feynman Diagrams and Feynman Rules
Relation to S-Matrix Elements
Functionals and Grassmann Fields
The Generating Functional
Problems
Path Integrals
Functional Integration
Path Integrals
Perturbation Theory
Gauge Independent Quantization?
Problems
Quantum Chromodynamics
Gluon Fields
Including Quarks
Perturbation Theory
Feynman Rules for QCD
Renormalizability of QCD
Problems
Asymptotic Freedom
Electron-Positron Annihilation
The Renormalization Scheme
The Renormalization Group
The Strong Coupling Constant
Applications
Appendix: Some Loop Diagrams in QCD
Problems
Weak Interactions
Introduction
Leptonic Weak Interactions
The Free Vector Boson Field
The Feynman Rules for the IVB Theory
Decay Rates
Applications of the IVB Theory
Neutrino Masses
Difficulties with the IVB Theory
Problems
A Gauge Theory of Weak Interactions
QED Revisited
Global Phase Transformations and Conserved Weak Currents
The Gauge-Invariant Electro-Weak Interaction
Properties of the Gauge Bosons
Lepton and Gauge Boson Masses
Spontaneous Symmetry Breaking
The Goldstone Model
The Higgs Model
The Standard Electro-Weak Theory
The Standard Electroweak Theory
The Lagrangian Density in the Unitary Gauge
Feynman Rules
Elastic NeutrinoElectron Scattering
ElectronPositron Annihilation
The Higgs Boson
Problems


Index
Table of Contents provided by Publisher. All Rights Reserved.

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Quantum Field Theory

Summary

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Table of Contents

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