Local U(2,2) Symmetry in Relativistic Quantum Mechanics
classification
✦ hep-th
dg-gamath-phmath.DGmath.MP
keywords
localgaugemechanicsquantumrelativisticsymmetryactingallows
read the original abstract
Local gauge freedom in relativistic quantum mechanics is derived from a measurement principle for space and time. For the Dirac equation, one obtains local U(2,2) gauge transformations acting on the spinor index of the wave functions. This local U(2,2) symmetry allows a unified description of electrodynamics and general relativity as a classical gauge theory.
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