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Quantum Field Theory, Ed. 2
量子場理論 第2版

¥ 11,184 (tax included)

Description

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.

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 Schrodinger, 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