Relativistic Quantum Mechanics and Quantum Fields

The following sections are included:

• Foreword

• Table of Contents

The following sections are included:

• Building Blocks of Matter

• Natural Units

The following sections are included:

• The Klein-Gordon Equation

• Klein-Gordon Equation: Approximate Form

• Klein-Gordon Equation for Coulomb Field: Pionic Atom

• Relativity Principle and Quantum Mechanics

The following sections are included:

• Dirac’s Relativistic Equations

• Solution of Dirac Equations for a Free Electron

• Properties of Negative-Energy States

• Electron Spin

• Foldy-Wouthuysen Representation

• References

The following sections are included:

• Properties of the α_μ matrices

• Helicity and neutrinos

• Charge Conjugation

• Dirac Equation in Majorana Representation

• References

The following sections are included:

• Unitary transformations

• Gauge transformations

• Lorentz transformations

• Space inversion, charge conjugation and time reversal

• The transformation matrix S

• References

The following sections are included:

• Dirac equation in second-order form

• Dirac equation: approximate, iterated form

• Hydrogenic atoms in Dirac’s theory - approximate solution

• Hydrogenic atoms in Dirac’s theory - exact solution

• Dirac equation and many-body features

• “Extra moments” to the Dirac equation?

The following sections are included:

• Introduction

• Classical field equations

• Noether’s Theorem

• The Klein-Gordon Field in Lagrangian Form.

• The Electromagnetic Field in Lagrangian Form.

• The Dirac Field in Lagrangian Form

• Appendix: Electromagnetic Fields

The following sections are included:

• Permutations

• Symmetric and antisymmetric wave functions for fermions and bosons

• Fock representation: creation and annihilation operators.

• References

The following sections are included:

• Klein-Gordon, real (pseudo) scalar field ϕ(x_μ)

• Klein-Gordon, complex scalar field

• Electromagnetic fields

• Dirac electron-positron field

• Dirac’s theory of emission and absorption of radiation

• Appendix Green's Functions △ and D

• References

The following sections are included:

• The Evolution Operator and the S-Matrix

• S-Matrix Elements and Feynman Rules

• Calculation of Cross Sections

• References

The following sections are included:

• Pauli-Villars Regularization

• Dimensional Regularization

• Introduction to Renormalization

• Appendix Some Useful Formulae for Dimensional Regularization

• References

The following sections are included:

• SU(2) Symmetries in Particle Physics

• Flavor SU(3) symmetry: isospin and strangeness

• Additional Symmetries in Particle Physics

• Appendix Potentials and Phase in Quantum Mechanics

• References

The following sections are included:

• QCD is an SU(3) Gauge Theory

• QCD is Asymptotically Free.

• Color Confinement

• Appendix A: Method of Path Integrals

• Appendix B: Method of Lattice Gauge Fields

• References

The following sections are included:

• Higgs Mechanism in an SU(2) × U(1) Gauge Theory

• The SU(2) × U(1) Electroweak Theory with Two Generations of Fermions

• Weak Interactions at Low Energies

• Appendix: Feynman Rules in the Rξ Gauge

• References

The following sections are included:

• Quantum Chromodynamics

• The Glashow-Salam-Weinberg SU(2) × U(1) Electroweak Theory

• Concluding Remarks

• References

The following sections are included:

• Subject Index

• Name Index