One-Loop Renormalization of a Self-Interacting Scalar Field in Nonsimply Connected Spacetimes

Details One-Loop Renormalization of a Self-Interacting Scalar Field in Nonsimply Connected Spacetimes One-Loop Renormalization of a Self-Interacting Scalar Field in Nonsimply Connected Spacetimes

1994-11-15

arxiv.org/abs/hep-th/9411109v1

Phys.Rev. D51 (1995) 6981-6989

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, plain LATEX

Scientific paper

10.1103/PhysRevD.51.6981

Using the effective potential, we study the one-loop renormalization of a massive self-interacting scalar field at finite temperature in flat manifolds with one or more compactified spatial dimensions. We prove that, owing to the compactification and finite temperature, the renormalized physical parameters of the theory (mass and coupling constant) acquire thermal and topological contributions. In the case of one compactified spatial dimension at finite temperature, we find that the corrections to the mass are positive, but those to the coupling constant are negative. We discuss the possibility of triviality, i.e. that the renormalized coupling constant goes to zero at some temperature or at some radius of the compactified spatial dimension.

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