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Vacuum Birefringence as a Probe of Planck Scale Noncommutativity

Steven A. Abel·Joerg Jaeckel·Valentin V. Khoze·Andreas Ringwald
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Abstract

Because of ultraviolet/infrared (UV/IR) mixing, the low energy physics of noncommutative gauge theories in the Moyal-Weyl approach seems to depend crucially on the details of the ultraviolet completion. However, motivated by recent string theory analyses, we argue that their phenomenology with a very general class of UV completions can be accurately modelled by a cutoff close to the Planck scale. In the infrared the theory tends continuously to the commutative gauge theory. If the photon contains contributions from a trace-U(1), we would observe vacuum birefringence, i.e. a polarisation dependent propagation speed, as a residual effect of the noncommutativity. Constraints on this effect require the noncommutativity scale to be close to the Planck scale.

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Steven A. Abel, Joerg Jaeckel, Valentin V. Khoze, Andreas Ringwald. 2006-07-17. Vacuum Birefringence as a Probe of Planck Scale Noncommutativity. https://doi.org/10.1088/1126-6708%2F2006%2F09%2F074

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