Derivative four-fermion model, effective action and bumblebee generation

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.

14 pages, version accepted to EPJ C

References in corpus (4)

• Backgrounds in gravitational effective field theory
• Spontaneous Breaking of Lorentz Invariance
• Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model
• Dynamical Lorentz symmetry breaking in a 4D massless four-fermion model

Cited by in corpus (2)

• Black hole with global monopole charge in self-interacting Kalb-Ramond field
• Bumblebee gravity: spherically-symmetric solutions away from the potential minimum