Work

Dynamical Lorentz symmetry breaking in a scale-free theory of gravity

Year: 2024

Type: article

Abstract: This paper explores the renormalization of scale-free quadratic gravity coupled to the bumblebee field and its potential for dynamically breaking Lorentz symmetry. We conduct one-loop renormalization of the model and calculate the associated renormalization group functions. Furthermore, we compute the one-loop effective potential for the bumblebee field, demonstrating that it acquires a nontrivial vacuum expectation value (VEV) through radiative corrections—a phenomenon known as the Coleman-Weinberg mechanism. This spontaneous breaking of scale invariance, driven by the nonzero VEV of the bumblebee field, leads to Lorentz symmetry violation. As a result, the nonminimal coupling between the bumblebee and gravitational fields induces a spontaneous generation of an Einstein-Hilbert term via radiative corrections, suggesting a possible link between the Planck scale and Lorentz violation phenomena. Published by the American Physical Society 2024

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.110.125007

Authors: A. C. Lehum, J. R. Nascimento, A. Yu. Petrov, P. J. Porfírio

Institutions: Universidade Federal do Pará, Universidade Federal da Paraíba

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico

Awards: G1704884635, G3085054769, G537134884