Local U(2,2) Symmetry in Relativistic Quantum Mechanics
High Energy Physics - Theory
2009-10-30 v4 dg-ga
Mathematical Physics
Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.hep-th/9703083,
title = {Local U(2,2) Symmetry in Relativistic Quantum Mechanics},
author = {Felix Finster},
journal= {arXiv preprint arXiv:hep-th/9703083},
year = {2009}
}
Comments
18 pages, LaTeX, typo in second formula on page 6 corrected (published version)