Problems with Gauge Invariance in Lorentz-Violating QED

Physics – High Energy Physics

Scientific paper

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Scientific paper

We consider the radiative generation of a Chern-Simons addition to the effective action for a Lorentz-violating modification of electrodynamics. The coefficient of the induced Chern-Simons term is manifestly finite, but also potentially indeterminate. However, several values have been suggested as having special significance. We discuss two such special values, and it turns out that neither of them can be made consistent with the gauge invariance properties of the theory.

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