English

Effective potential in Lorentz-breaking field theory models

High Energy Physics - Theory 2018-01-17 v3

Abstract

We calculate explicitly the one-loop effective potential in different Lorentz-breaking field theory models. First, we consider a Yukawa-like theory and, then, some examples of Lorentz-violating extensions of scalar QED. We observed, for the extended QED models, that the resulting effective potential converges to the known result in the limit in which Lorentz-symmetry is restored. Besides, the one-loop corrections to the effective potential in all the cases we studied depend on the background tensors responsible for the Lorentz symmetry violation. This have consequences in physical quantities like, for example, in the induced mass due to Coleman-Weinberg mechanism.

Keywords

Cite

@article{arxiv.1704.08556,
  title  = {Effective potential in Lorentz-breaking field theory models},
  author = {A. P. Baeta Scarpelli and L. C. T. Brito and J. C. C. Felipe and J. R. Nascimento and A. Yu. Petrov},
  journal= {arXiv preprint arXiv:1704.08556},
  year   = {2018}
}

Comments

Version accepted for publication in EPJC

R2 v1 2026-06-22T19:29:43.071Z