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Understanding
Relativistic Quantum Field Theory
Hans de Vries (My book in progress)
Part
I Relativistic foundations of light and matter Fields
Chapter 1:
Elementary solutions of the classical wave
equation
Chapter 2:
Lorentz
contraction from the classical wave equation
Chapter 3: Time dilation from the
classical wave equation
Chapter 4:
Non-simultaneity from the classical wave equation
Part
II Advanced treatment of the EM field
Chapter 5: Relativistic formulation of
the electromagnetic field
Chapter 6:
The Chern-Simons EM spin and axial current density
Chapter 7:
The EM stress energy tensor and spin tensor
Chapter 8:
Advanced EM treatment of Spin 1/2 fermions
Part
III The relativistic matter wave equations
Chapter 9:
Relativistic
matter waves from Klein Gordon's equation
Chapter 10:
Operators of the scalar Klein Gordon field
Chapter 11:
EM Lorentz force derived from Klein Gordon's equation
Chapter 12:
Klein Gordon transition currents and virtual photons
Chapter 13:
Propagators of the real Klein Gordon field
Chapter 14:
Propagators of the complex Klein Gordon field
Chapter 15:
The self propagator of the Klein Gordon field
Chapter 16:
The Poincare group
and relativistic wave functions
Chapter 17:
The Dirac
Equation
Chapter 18: Transformations of the bilinear fields of the Dirac electron
Chapter 19: Gordon decomposition of the vector/axial currents
Chapter 20:
Operators
and Observables of the Dirac field
Chapter 21:
The EM
interactions with the Dirac field
Chapter 22: The Hamiltonian and Lagrangian densities
Part IV Foundations of Quantum
Electro Dynamics
Chapter 23: Scattering and momentum conservation
Chapter 24:
Decay rates
and Cross sections
Chapter 25: Interference currents from transitions
Chapter 26: Propagation from the interaction term
Chapter 27:
Feynman
rules and diagrams of QED
Chapter 28: Elementary QED scattering processes
Chapter 29:
Higher
order Feynman diagrams
Chapter 30: Path integral methods
Part V Non Abelian gauge theories
Chapter 31: The Electroweak theory
Chapter 32: The Electroweak interactions with quarks
Chapter 33: Quantum Chromo Dynamics
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