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Finite temperature effective potential on hyperbolic spacetimes

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arxiv hep-th/9310141 v1 pith:YDE4JUCX submitted 1993-10-21 hep-th

Guido Cognola , Klaus Kirsten , Luciano Vanzo , Sergio Zerbini This is my paper · ORCID
classification hep-th
keywords temperatureeffectivefinitehyperbolicpotentialanalyticbreakingcompact
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The finite temperature one-loop effective potential for a scalar field defined on an ultrastatic spacetime, whose spatial part is a compact hyperbolic manifold, is studied. Different analytic expressions, especially valuable at low and high temperature are derived. Based on these results, the symmetry breaking and the topological mass generation are discussed.

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  1. Spontaneous symmetry breaking induced by curvature : Analysis via non-perturbative 2PI Hartree approximation

    gr-qc 2025-04 conditional novelty 6.0 of 10

    Curvature, via resummed 2PI Hartree self-energy, can induce spontaneous symmetry breaking for a minimally coupled scalar with positive mass squared in de Sitter spacetime.

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