Finite temperature effective potential on hyperbolic spacetimes

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.

10 pages LaTex, UTF301

References in corpus (3)

• Effective Lagrangian for self-interacting scalar field theories in curved spacetime
• One-loop effective potential on hyperbolic manifolds
• Quantum Field Effect on Symmetry Breaking and Restoration in Anisotropic Spacetimes

Cited by in corpus (4)

• Zeta function regularization for a scalar field in a compact domain
• Quantum Fields in Hyperbolic Space-Times with Finite Spatial Volume
• Zeta-function regularization and the thermodynamic potential for quantum fields in symmetric spaces
• Renormalized Free Energy on Space-time with Compact Hyperbolic Spatial Part