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Bose-Einstein condensation of scalar fields on hyperbolic manifolds

1992/10/01 by Guido Cognola, Luciano Vanzo
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1103/physrevd.47.4575

published as Phys.Rev. D47 (1993) 4575-4580 · LaTex

arxiv created 1992/10/01 · openalex publication_date 1993/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The problem of Bose-Einstein condensation for a relativistic ideal gas on an ultrastatic (3+1)-dimensional manifold with a hyperbolic spatial part is analyzed in some detail. The critical temperature is evaluated and its dependence on curvature is pointed out. Complete expansions for the thermodynamic potential are given for the cases of both low and high temperature.

Citations