Self-interacting scalar fields on spacetime with compact hyperbolic spatial part

Details Self-interacting scalar fields on spacetime with compact hyperbolic spatial part Self-interacting scalar fields on spacetime with compact hyperbolic spatial part

1993-03-10

arxiv.org/abs/hep-th/9303061v1

Mod.Phys.Lett.A8:2011-2022,1993

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTex, UTF 287

Scientific paper

10.1142/S0217732393001720

We calculate the one-loop effective potential of a self-interacting scalar field on the spacetime of the form $\reals^2\times H^2/\Gamma$. The Selberg trace formula associated with a co-compact discrete group $\Gamma$ in $PSL(2,\reals )$ (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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