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The real valued and spatially symmetric representation of the Dirac equation

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



Dec  8,   2008  The simplest derivation of the non Abelian field tensor and Lagrangian density.
Dec 12,  2007  Electromagnetic Chern Simons spin density and EPR photon correlations 
Feb 27,  2007  Detecting and Analyzing higher dimensions via EM radiation 

Feb 27,  2007 

The magnetic field as a relativistic side effect of electro statics 

Oct   4,  2004 

The electromagnetic coupling constant as a radiative series 

(original webpage)