TITLE:
Casimir Effect via a Generalized Matsubara Formalism
AUTHORS:
Adolfo P. C. Malbouisson
KEYWORDS:
Cavities, Simple Systems, Time Evolution
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.12,
December
19,
2022
ABSTRACT: We investigate the Casimir effect in the context of a nontrivial topology by means of a generalized Matsubara formalism. This is performed in the context of a scalar field in D Euclidean spatial dimensions with d compactified dimensions. The procedure gives us the advantage of considering simultaneously spatial constraints and thermal effects. In this sense, the Casimir pressure in a heated system between two infinite planes is obtained and the results are compared with those found in the literature.