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One-loop effective potential on hyperbolic manifolds

Authors
  • Cognola, Guido
  • Kirsten, Klaus
  • Zerbini, Sergio
Type
Published Article
Publication Date
Feb 12, 1993
Submission Date
Feb 12, 1993
Identifiers
DOI: 10.1103/PhysRevD.48.790
arXiv ID: hep-th/9302051
Source
arXiv
License
Unknown
External links

Abstract

The one-loop effective potential for a scalar field defined on an ultrastatic space-time whose spatial part is a compact hyperbolic manifold, is studied using zeta-function regularization for the one-loop effective action. Other possible regularizations are discussed in detail. The renormalization group equations are derived and their connection with the conformal anomaly is pointed out. The symmetry breaking and the topological mass generation are also discussed.

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