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arXiv · 1008.3886

The Photon Dispersion as an Indicator for New Physics ?

Wolfgang Bietenholz
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Abstract

We first comment on the search for a deviation from the linear photon dispersion relation, in particular based on cosmic photons from Gamma Ray Bursts. Then we consider the non-commutative space as a theoretical concept that could lead to such a deviation, which would be a manifestation of Lorentz Invariance Violation. In particular we review a numerical study of pure U(1) gauge theory in a 4d non-commutative space. Starting from a finite lattice, we explore the phase diagram and the extrapolation to the continuum and infinite volume. These simultaneous limits - taken at fixed non-commutativity - lead to a phase of broken Poincare symmetry, where the photon appears to be IR stable, despite a negative IR divergence to one loop.

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Wolfgang Bietenholz. 2010-09-02. The Photon Dispersion as an Indicator for New Physics ?. https://doi.org/10.1088/1742-6596%2F315%2F1%2F012029

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