Radiatively Induced Lorentz-Violating Photon Masses

Abstract

We examine the radiative corrections to an extension of the standard model containing a Lorentz-violating axial vector parameter. At second order in this parameter, the photon self-energy is known to contain terms that violate gauge invariance. Previously, this has been treated as a pathology, but it is also possible to take the gauge noninvariant terms at face value. These terms then make Lorentz-violating contributions to the photon mass, and directly measured limits on the photon mass can be used to set bounds on the Lorentz violation at better than the 10^-22 GeV level.

12 pages, minor changes and updated references

References in corpus (4)

• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
• Lorentz-violating massive gauge and gravitational fields
• Infrared Lorentz Violation and Slowly Instantaneous Electricity

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• Common and not so common high-energy theory methods for condensed matter physics
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• The axial anomaly, dimensional regularization and Lorentz-violating QED
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• Tree-level equivalence between a Lorentz-violating extension of QED and its dual model in electron-electron scattering
• Fermions in $(1+2)$-dimensions modified by nonminimal coupling and its applications to condensed matter physics
• Spacetime-symmetry violations: motivations, phenomenology, and tests