Radiatively Induced Lorentz and Gauge Symmetry Violation in Electrodynamics with Varying alpha

Details Radiatively Induced Lorentz and Gauge Symmetry Violation in Electrodynamics with Varying alpha Radiatively Induced Lorentz and Gauge Symmetry Violation in Electrodynamics with Varying alpha

2009-10-27

arxiv.org/abs/0910.5202v1

Phys.Rev.D80:125010,2009

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1103/PhysRevD.80.125010

A time-varying fine structure constant alpha(t) could give rise to Lorentz- and CPT-violating changes to the vacuum polarization, which would affect photon propagation. Such changes to the effective action can violate gauge invariance, but they are otherwise permitted. However, in the minimal theory of varying alpha, no such terms are generated at lowest order. At second order, vacuum polarization can generate an instability--a Lorentz-violating analogue of a negative photon mass squared -m^2 proportional to alpha [(d alpha/dt) / alpha]^2 log (Lambda^2), where Lambda is the cutoff for the low-energy effective theory.

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