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

2024/10/10 by E. R. Bezerra de Mello, Junior, A. J. D. Farias, de Mello, E. R. Bezerra +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2410.07999

openalex publication_date 2024/10/10 · openalex created_date 2024/10/13 · openalex updated_date 2026/07/28

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.

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