One-loop radiative corrections in bumblebee-Stueckelberg model

TL;DR

This paper investigates quantum corrections in a Lorentz-violating vector field model, analyzing gauge symmetry restoration and the emergence of massive modes through radiative effects.

Contribution

It introduces a Stueckelberg field to restore gauge symmetry in a Lorentz-violating bumblebee model and calculates the resulting two-point function with novel insights.

Findings

Identification of a massive excited mode due to radiative corrections

Restoration of gauge symmetry via Stueckelberg field

Nontransversal two-point function analysis

Abstract

This work aims to study the radiative corrections in a vector model with spontaneous Lorentz symmetry violation, known in the literature as the bumblebee model. We consider such a model with self-interaction quadratic smooth potential responsible for spontaneous Lorentz symmetry breaking. The spectrum of this model displays a transversal nonmassive mode, identified as Nambu-Goldstone, and a massive longitudinal mode. Besides the Lorentz symmetry, this model also exhibits gauge symmetry violation. To restore the gauge symmetry, we introduce the Stueckelberg field and calculate the two-point function by employing the principal-value (PV) prescription. The result is nontransversal, leading to a massive excited mode.