Related papers: Vacuum Energy and Topological Mass in Interacting Elko and Scalar Field Theories

Vacuum Energy and Topological Mass in Interacting Elko and Scalar Field Theories

URL: http://arxiv.org/abs/2512.08750v3
Date: Thu, 18 Dec 2025 15:29:52 GMT
Title: Vacuum Energy and Topological Mass in Interacting Elko and Scalar Field Theories
Authors: A. J. D. Farias Junior, A. Smirnov, Herondy F. Santana Mota, E. R. Bezerra de Mello,
Abstract summary: We consider a four-dimensional system composed of a mass-dimension-one fermionic field, also known as Elko, interacting with a real scalar field.<n>Our main objective is to analyze the Casimir effects associated with this system.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: In this paper, we consider a four-dimensional system composed of a mass-dimension-one fermionic field, also known as Elko, interacting with a real scalar field. Our main objective is to analyze the Casimir effects associated with this system, assuming that both the Elko and scalar fields satisfy Dirichlet boundary conditions on two large parallel plates separated by a distance $L$. In this scenario, we calculate the vacuum energy density and its first-order correction in the coupling constants of the theory. Additionally, we consider the mass correction for each field separately, namely the topological mass that arises from the boundary conditions imposed on the fields and which also depends on the coupling constants. To develop this analysis, we use the mathematical formalism known as the effective potential, expressed as a path integral in quantum field theory.

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