# The Photon Dispersion as an Indicator for New Physics - High Energy Physics - Phenomenology

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Abstract: We first comment on the search for a deviation from the linear photondispersion relation, in particular based on cosmic photons from Gamma RayBursts. Then we consider the non-commutative space as a theoretical conceptthat could lead to such a deviation, which would be a manifestation of LorentzInvariance Violation. In particular we review a numerical study of pure U1gauge theory in a 4d non-commutative space. Starting from a finite lattice, weexplore the phase diagram and the extrapolation to the continuum and infinitevolume. These simultaneous limits - taken at fixed non-commutativity - lead toa phase of broken Poincare symmetry, where the photon appears to be IR stable,despite a negative IR divergence to one loop.

Author: ** Wolfgang Bietenholz**

Source: https://arxiv.org/