One-loop effective potential on hyperbolic manifolds

Details One-loop effective potential on hyperbolic manifolds One-loop effective potential on hyperbolic manifolds

1993-02-12

arxiv.org/abs/hep-th/9302051v1

Phys.Rev.D48:790-799,1993

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTex

Scientific paper

10.1103/PhysRevD.48.790

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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