Finite temperature effective potential on hyperbolic spacetimes
Guido Cognola, Klaus Kirsten, Luciano Vanzo, Sergio Zerbini
TL;DR
This paper derives analytic expressions for the finite temperature effective potential of a scalar field on hyperbolic spacetimes, exploring symmetry breaking and topological mass generation at different temperatures.
Contribution
It provides new analytic formulas for the effective potential on hyperbolic manifolds, enhancing understanding of thermal effects in such geometries.
Findings
Analytic expressions for low and high temperature regimes.
Insights into symmetry breaking mechanisms.
Discussion of topological mass generation.
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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