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.
Finite temperature effective potential on hyperbolic spacetimes
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abstract
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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Spontaneous symmetry breaking induced by curvature : Analysis via non-perturbative 2PI Hartree approximation
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.