English

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

High Energy Physics - Theory 2026-02-27 v4 Mathematical Physics math.MP

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 FμνF_{\mu\nu} 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.

Keywords

Cite

@article{arxiv.2405.20855,
  title  = {Modified Euler-Heisenberg effective action and Proper-Time Method in Lorentz-Violating Scalar QED},
  author = {L. C. T. Brito and J. C. C. Felipe and A. C. Lehum and J. R. Nascimento and A. Yu. Petrov},
  journal= {arXiv preprint arXiv:2405.20855},
  year   = {2026}
}

Comments

10 pages, all corrections made in Errata are consistently implemented

R2 v1 2026-06-28T16:48:28.838Z