Aplicações da dinâmica de campos térmicos (DCT) à análise do efeito Casimir de bósons e férmions em topologias torodais

Abstract

In this work we analyse the Casimir effect for bosons and fermions on a hypertorus for both cases at zero and finite temperature. We find that at zero temperature there is a transition from negative to positive values of pressure which depends heavily on the magnitude of the compactification parameters. When low temperatures are considered, a change in the relation between the pressure behaviour and the compactification parameters is observed. In contrast, at high energies, due to the dominance of the black-body radiation term in the pressure, this change becomes insignificant. We then use these results to consider a non-interacting massless QCD model and estimate the possible contribution of the Casimir effect for the critical temperature of quarks deconfinement.