Vacuum energy density from a self-interacting scalar field in a Lorentz-violating Horava-Lifshitz model

TL;DR

This paper investigates the vacuum energy density and loop corrections of a self-interacting scalar field within a Lorentz-violating Horava-Lifshitz framework, considering boundary effects and massless cases using the effective potential method.

Contribution

It provides the first analysis of vacuum energy and topological mass generation for a scalar field in a Lorentz-violating Horava-Lifshitz model with boundary conditions.

Findings

Calculated vacuum energy density and loop corrections.

Analyzed effects of boundary conditions on vacuum state.

Explored massless scalar field scenarios.

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.