Malbouisson, A.P.C., Malbouisson, J.M.C. and Pereira, R.C. (2009) Boundary Effects on the Mass and Coupling Constant in the Compactified Ginzburg-Landau Model: The Boundary Dependent Critical Temperature. Journal of Mathematical Physics, 50, Article ID: 083304.
https://doi.org/10.1063/1.3204079

has been cited by the following article:

• 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.