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

Andrei Bytsenko·Klaus Kirsten·Sergei Odintsov
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Abstract

We calculate the one-loop effective potential of a self-interacting scalar field on the spacetime of the form $\reals^2\times H^2/Γ$. The Selberg trace formula associated with a co-compact discrete group $Γ$ 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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Andrei Bytsenko, Klaus Kirsten, Sergei Odintsov. 1993-03-10. Self-interacting scalar fields on spacetime with compact hyperbolic spatial part. https://doi.org/10.1142/s0217732393001720

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