An Alternative Approach for Quantum Forces in Toroidal Topology

A.P.C. Malbouisson^1,

¹Centro Brasileiro de Pesquisas Fisicas - CBPF/MCTI, Brazil

Cite this paper:
A.P.C. Malbouisson. An Alternative Approach for Quantum Forces in Toroidal Topology. International Journal of Physics. 2021; 9(5):251-258. doi: 10.12691/ijp-9-5-5

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.

Keywords:
radiation in cavities dressed states approach

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