Self-interacting scalar fields on spacetime with compact hyperbolic spatial part
Andrei Bytsenko, Klaus Kirsten, Sergei Odintsov
Abstract
We calculate the one-loop effective potential of a self-interacting scalar field on the spacetime of the form 2× H2/Γ. The Selberg trace formula associated with a co-compact discrete group Γ in PSL(2, ) (hyperbolic and elliptic elements only) is used. The closed form for the one-loop unrenormalized and renormalized effective potentials is given. The influence of non-trivial topology on curvature induced phase transitions is also discussed.
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