English

Derivative four-fermion model, effective action and bumblebee generation

High Energy Physics - Theory 2024-10-10 v2

Abstract

In this paper, we study the one-loop effective potential of a derivative four-fermion model. As a result, an exact bumblebee-like potential is radiatively generated. Afterwards, we generalize our study for a finite temperature case and explicitly demonstrate the possibility of phase transitions allowing for the restoration of the Lorentz symmetry. We also investigate the low-energy effective action, from which we obtain the usual kinetic term and the corresponding bumblebee potential.

Keywords

Cite

@article{arxiv.2406.12987,
  title  = {Derivative four-fermion model, effective action and bumblebee generation},
  author = {R. Araujo and T. Mariz and J. R. Nascimento and A. Yu. Petrov},
  journal= {arXiv preprint arXiv:2406.12987},
  year   = {2024}
}

Comments

14 pages, version accepted to EPJ C

R2 v1 2026-06-28T17:10:58.750Z