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arXiv · 2408.01925

{\AE}ther Coupling Effects on Casimir Energy for Self-Interacting Scalar Field within Extra Dimension

M. A. Valuyan
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Abstract

This paper presents comprehensive calculations for thermal and first-order radiative corrections to the Casimir energy in systems involving self-interacting massive and massless scalar fields coupled with {\ae}ther in a fifth compact dimension. The method used to compute the radiative correction to the Casimir energy differs from conventional approaches by applying a unique renormalization scheme that is consistent with specific boundary conditions or backgrounds. Despite this divergence from conventional methodologies, our results demonstrate consistency within established physical limits. Furthermore, employing a toy model, we calculated the total Casimir energy density in the bulk, taking into account both thermal and radiative corrections. We also provide a thorough characterization of the total Casimir energy density in the compact dimension, detailing its magnitude and sign using graphical representations and quantitative data.

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M. A. Valuyan. 2024-08-04. {\AE}ther Coupling Effects on Casimir Energy for Self-Interacting Scalar Field within Extra Dimension. https://doi.org/10.1088/1402-4896%2Fad69d3

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