2016•arXiv (Cornell University)Open access

Casimir effect via a generalized Matsubara formalism

Andreson L. C. Rego, C. A. Linhares, A. P. C. Malbouisson

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.

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Key concepts: Casimir effect, Formalism (music), Euclidean geometry, Scalar field, Theoretical physics, Physics, Scalar (mathematics), Topology (electrical circuits)