Correções radiativas no modelo Bumblebee-Stueckelberg

Abstract

The Lorentz Symmetry plays a fundamental role in the building of General Relativity and Quantum Field Theory. However, in order to understand the Physics beyond the Standard Model, the physicists have considered that the Lorentz symmetry could be violated in a fundamental theory. In this work, we start by introducing the Path integral formalism and then talk about the possibility of Lorentz symmetry violation and study radiative corrections in a vector model with Spontaneous Lorentz violation, known in the literature as the Bumblebee model. First, we consider the Bumblebee model with self interaction smooth potential, which is responsible for Spontaneous Lorentz violation. The spectrum of this model displays a transversal non massive mode, which is identified as Nambu-Goldstone, and a longitudinal massive mode. Besides the Lorentz symmetry, this model also exhibits gauge symmetry violation. We calculate the two point function by employing the PV prescription and the result is non-transversal, leading to an excited massive mode. In order to restore the gauge symmetry, we introduce the Stueckelberg field and calculate the two point function. Our result is also non-transversal.