Bose-Einstein condensation as symmetry breaking in compact curved spacetimes

1996/02/09 by John D. Smith, J. Denmead Smith, David J. Toms
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bose–Einstein condensate #Classical mechanics #Condensation #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Field (mathematics) #Geometry #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Spontaneous symmetry breaking #Symmetry (geometry) #Symmetry breaking #Theoretical physics #Thermodynamics #Universe #hep-th

paper · pdf · doi:10.1103/physrevd.53.5771

published as Phys.Rev.D53:5771-5780,1996 · Revtex, 25 pages, 3 figures, uses EPSF.sty. To be published in Phys. Rev. D

arxiv created 1996/02/09 · openalex publication_date 1996/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We examine Bose-Einstein condensation as a form of symmetry breaking in the specific model of the Einstein static universe. We show that symmetry breaking never occurs in the sense that the chemical potential \ensuremathμ never reaches its critical value. This leads us to some statements about spaces of finite volume in general. In an appendix we clarify the relationship between the standard statistical mechanical approaches and the field theory method using \ensuremathζ functions.

Citations

• Bose-Einstein condensation of scalar fields on hyperbolic manifolds
• Simple criterion for the occurrence of Bose-Einstein condensation
• A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions with an account of the principal transcendental functions
• Zeta function regularization of path integrals in curved spacetime
• Thermodynamics of ideal boson and fermion gases in the static Taub universe
• Tables of Integrals, Series, and Products