Vacuum energy density from a self-interacting scalar field in a Lorentz-violating Horava-Lifshitz model
Abstract
In this paper we consider a massive self-interacting scalar quantum field in a Lorentz-violation scenario based on a Horava-Lifshitz model. Specifically, we investigate the vacuum energy density and its loop correction, up to first order in the self-interaction coupling constant, and also the topological mass generation. These quantities are also analyzed in the case where the field is massless. The scalar vacuum state is perturbed by the presence of two large parallel plates, placed at a distance L from each other, due to the imposition of Dirichlet boundary condition on the two plates. To perform this study, the effective potential approach in quantum field theory is applied.
Keywords
Cite
@article{arxiv.2410.07999,
title = {Vacuum energy density from a self-interacting scalar field in a Lorentz-violating Horava-Lifshitz model},
author = {A. J. D. Farias Junior and E. R. Bezerra de Mello and Herondy Mota},
journal= {arXiv preprint arXiv:2410.07999},
year = {2025}
}
Comments
15 pages, 3 Figures, version accepted for publication in Physical Review D