1.
Relativity and Quantization
Covariant Vector
Contravariant
Tensors
Return Trip
Invariance of Light Speed
Fifth Dirac
Matrix
Counterexample
Self-Adjoint Extension of Momentum
Operator
Majorana
Representation of Dirac Matrices
Chiral
Representation of Dirac Matrices
Orbital and Spin
Operators
Transition to
Field Formalism
Time in Quantum
Mechanics
2
Charged Particle in Electromagnetic Field
Existence of
Potentials
Lorentz Force
Minmal Coupling
Anomalous
Coupling
Spin-Orbit
Coupling
Einstein
Correction
Hyperfine
Interaction
Lorentz
Invariants for Electromagnetic Field
Zitterbewegung
Positronium Energy Levels
3 Dirac
Hydrogen Atom
Dirac Spinors
Scalar, Vector
and Tensor Currents
Gordon Identity
Uniform Magnetic
Field
Fierz Transformation
Foldy-Wouthuysen Transformation
Dirac Coulomb
Wave Functions
Dirac Square Well Potential
Klein-Gordon Hydrogen Atom
Dirac Harmonic Oscillator
4
Quantum Field Theory
Commutation
Relations for Scalar Field
Feynman
Propagator for Scalar Field
Charged Scalar Field
Massive
Vector Field
in General Covariant Gauge
Becchi-Rouet-Stora Method
Anicommutation
Rules for Spinor Field
Hamiltonian for
Scalar, Electromagnetic and Spinor Fields
Dirac Hamiltonian
Alternative Dirac
Hamiltonian
Bell's Theorem
and Polarized Photons
5 Group
Theory and the Noether Theorem
Equivalent
Representations of SO(3)
Direct Product
Representations of SO(3)
Composition of
Two Rotations
Polar
Decomposition Theorem
Composition of
General Boosts
Direct Product Lorentz
Transformation
Pauli-Lubanski Vector
Spinor Noether Current
Energy, Momentum
and Spin of Photon
P, C and T
Transformations |
6
Scattering Theory and Feynman Graphs
Time-Ordered Product
Evolution
Operator
Vanishing
Matrix Element
LSZ
Reduction
Two
Scalar Quantum Fields
Scalar
Fock Space
Two Body
Cross Section
Scalar
Commutator and Feynman Propagator
Källen-Lehmann
Representation
Wick’s Theorem
7
Quantum Electrodynamics
Free
Photon Field Operator
Feynman
Gauge Propagator for Electromagnetic Field
Free
Field Dirac Operator
Spinor
Field Propagator
Gauge
Invariance
Gupta-Bleuler
Condition
Furry’s
Theorem
Positron-Muon Scattering
Bhabha
scattering
Lifetime of Positronium
8
Dimensional Regularization
Gamma
Function
Vector
and Tensor Fields
Feynman
Formulae
Electron
Self-Energy
Regularization Procedures
Pinch and
End-Point Singularities
Cutkosky
Rule
Photon-Photon Scattering
Vertex
Function and Form Factors
Dimensional Regularization and Distribution
Theory
9
Dyson-Schwinger Equations
QED
Euler-Lagrange Equations
Derivative of Time-Ordered Product
Electron
Propagator Equations
Electron
Propagator in n Dimensions
Bifurcation Equation
Salam-Delbourgo Method
Infrared
and Ultraviolet Regularization in QED(4)
Strong
Coupling QED(4)
QED(3)
Chiral Symmetry Breaking
QCD and Asymptotic Freedom
APPENDIX
Electroweak Interactions
Non-Abelian
Gauge Transformation
Gauge
Invariance of Gauge Boson Lagrangian
Higgs
Lagrangian
Leptonic
Lagrangian
Interaction Lagrangian
Gauge
Boson Lagrangian with Physical Fields
Adjoint
Isospinor
Massive
Neutrino
Strangeness Changing Neutral Current
Left-Right Symmetric Electroweak Theory
Bibliography
Index |
