Null second order corrections to Casimir energy in weak gravitational field: The Schwinger's approach
High Energy Physics - Theory
2021-02-03 v2
Abstract
We show through Schwinger's approach that in a static weak gravitational background, the Casimir Energy for a real massless scalar field obeying Dirichlet boundary conditions on rectangular plates is unaltered from it's flat space-time value. The result is obtained considering an rather general class of backgrounds, adding further generality and consistency test for the previous work. The proposed result has direct consequences on earlier works in the literature that found gravity related corrections for similar setups.
Keywords
Cite
@article{arxiv.2007.07163,
title = {Null second order corrections to Casimir energy in weak gravitational field: The Schwinger's approach},
author = {A. P. C. M Lima and G. Alencar and R. R. Landim},
journal= {arXiv preprint arXiv:2007.07163},
year = {2021}
}
Comments
11 pages v2: Author's information added