May 31, 2024Open Access

Modified Euler-Heisenberg effective action and Proper-Time Method in Lorentz-Violating Scalar QED

LBL. C. T. BritoUniversidade Federal de Lavras JFJ. C. C. FelipeUniversidade Federal de Minas Gerais ALA. C. LehumUniversidade Federal do Pará

Key Points

Photon-photon scattering is influenced by nonlinear Lorentz-violating contributions, affecting scattering predictions.
The one-loop effective action was precisely calculated in a Lorentz-violating scalar QED framework.
Using the proper-time method, we derived results for both CPT-even and CPT-odd scenarios across all orders of the stress tensor Fμν for completeness in predictions and evaluations of quantum effects in vacuum conditions. The findings imply potential new physics scenarios that extend beyond the Standard Model, necessitating further experimental validation.

Abstract

Quantum photon effects in vacuum provide an interesting setting to test quantum electrodynamics, serving as a source for predictions about physics beyond the Standard Model. In this paper, we investigate these effects by calculating the one-loop Euler-Heisenberg-like effective action within a Lorentz-violating scalar quantum electrodynamics framework. In both CPT-even and CPT-odd scenarios, we obtain the exact result in all orders of the stress tensor F_ and evaluate explicitly the lower orders of this effective action. We identify the quantum effects coming from Lorentz violation in an explicitly gauge invariant way. Nonlinear Lorentz-violating contributions that may affect photon-photon scattering are explicitly evaluated.

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Brito et al. (Fri,) studied this question.

synapsesocial.com/papers/68e6785bb6db643587602a2e https://doi.org/https://doi.org/10.48550/arxiv.2405.20855

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