SELF-INTERACTING SCALAR FIELDS ON SPACE-TIME WITH COMPACT HYPERBOLIC SPATIAL PART

Open Access

10 July 1993

journal article
Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A

Vol. 8 (21) , 2011-2021
https://doi.org/10.1142/s0217732393001720

Abstract

We calculate the one-loop effective potential of a self-interacting scalar field on the space-time of the form ℝ²×H²/Γ. The Selberg trace formula associated with a co-compact discrete group Γ in PSL(2, ℝ) (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.

Keywords

SCALAR FIELD
EFFECTIVE POTENTIAL
DISCRETE GROUP
SPACE TIME
PHASE TRANSITION

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Version 1, 1993-03-10, ArXiv

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