Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED

Abstract

The renormalization of quantum field theories usually assumes Lorentz and gauge symmetries, besides the general restrictions imposed by unitarity and causality. However, the set of renormalizable theories can be enlarged by relaxing some of these assumptions. In this work, we consider the particular case of a CPT-preserving but Lorentz-breaking extension of scalar QED. For this theory, we calculate the one-loop radiative corrections to the three- and four-point scalar-vector vertex functions, at the lowest order in the Lorentz violation parameters; and we explicitly verify that the resulting low-energy effective action is compatible with the usual gauge invariance requirements. With these results, we complete the one-loop renormalization of the model at the leading order in the Lorentz-violating parameters.

18 pages, matches published version

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• Searching for photon-sector Lorentz violation using gravitational-wave detectors
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• Limits on Neutron Lorentz Violation from the Stability of Primary Cosmic Ray Protons
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Cited by in corpus (7)

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• Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED
• Perturbative S-matrix unitarity and higher-order Lorentz violation
• One-loop contributions in Lorentz-violating scalar QED with nonminimal coupling