Comment on "Casimir effect in a weak gravitational field: Schwinger's approach"
Abstract
We show that the statement in F. Sorge [Class. Quant. Grav. 36, no.23, 235006 (2019)] that the Casimir effect receives second order corrections due to gravity is not consistent. We remark especially on the tracing of the proper time Hamiltonian, where the correct procedure is to use the eigenfunctions and eigenvalues of the covariant DAlembertian. After some cancellations we find that the value of the functional W [0] is the same as obtained by Sorge. However, we argue that the proper vacuum energy density carries extra space-time volume terms that cancel over the gravitational correction, returning to the same expression as in Minkowski space-time.
Keywords
Cite
@article{arxiv.2007.05512,
title = {Comment on "Casimir effect in a weak gravitational field: Schwinger's approach"},
author = {A. P. C. M. Lima and G. Alencar and R. R. Landim},
journal= {arXiv preprint arXiv:2007.05512},
year = {2020}
}
Comments
6 pages. V2: Reference added, typo revision and title fixed v3: author's information and acknowledgements added v4: Conclusion rewritten, new reference added