Year: 1993
Type: article
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 $\ensuremath{\zeta}$-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.
Authors: Guido Cognola, Klaus Kirsten, Sergio Zerbini
Institutions: Istituto Nazionale di Fisica Nucleare, University of Trento
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2073119892