Abstract
Within the context of the Thermofield Dynamics, we introduce generalized Bogoliubov transformations which accounts simultaneously for spatial compactification and thermal effects. As a specific application of such a formalism, we consider the Casimir effect for Maxwell and Dirac fields at finite temperature. Particularly, we determine the temperature at which the Casimir pressure for a massless fermionic field in a cubic box changes its nature from attractive to repulsive. This critical temperature is approximately 100 MeV when the edge of the cube is of the order of the confining length (≈ 1 fm) for baryons.
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Khanna, F.C., Malbouisson, J.M.C., Santana, A.E. (2006). Thermofield dynamics: Generalized Bogoliubov transformations and applications to Casimir effect. In: Khanna, F., Matrasulov, D. (eds) Non-Linear Dynamics and Fundamental Interactions. NATO Science Series II: Mathematics, Physics and Chemistry, vol 213. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3949-2_17
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DOI: https://doi.org/10.1007/1-4020-3949-2_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3947-8
Online ISBN: 978-1-4020-3949-2
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