Local U(2,2) Symmetry in Relativistic Quantum Mechanics

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.

18 pages, LaTeX, typo in second formula on page 6 corrected (published version)

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