English

Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model

High Energy Physics - Theory 2008-11-26 v2

Abstract

In a 4D chiral Thirring model we analyse the possibility that radiative corrections may produce spontaneous breaking of Lorentz and CPT symmetry. By studying the effective potential, we verified that the chiral current ψˉγμγ5ψ\bar\psi\gamma^{\mu} \gamma_5 \psi may assume a nonzero vacuum expectation value which triggers the Lorentz and CPT violations. Furthermore, by making fluctuations on the minimum of the potential we dynamically induce a bumblebee like model containing a Chern-Simons term.

Keywords

Cite

@article{arxiv.0709.2904,
  title  = {Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model},
  author = {M. Gomes and T. Mariz and J. R. Nascimento and A. J. da Silva},
  journal= {arXiv preprint arXiv:0709.2904},
  year   = {2008}
}

Comments

Small modifications in the text and new references added, 12 pages, 4 figures, revtex4. To appear in Phys. Rev. D

R2 v1 2026-06-21T09:18:51.952Z