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

Andrei Bytsenko; Klaus Kirsten; Sergei Odintsov

doi:10.1142/S0217732393001720

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

高能物理 - 理论 2009-09-17 v1

作者: Andrei Bytsenko , Klaus Kirsten , Sergei Odintsov

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摘要

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.

关键词

effective action in quantum field theory scalar field cosmology

引用

@article{arxiv.hep-th/9303061,
  title  = {Self-interacting scalar fields on spacetime with compact hyperbolic spatial part},
  author = {Andrei Bytsenko and Klaus Kirsten and Sergei Odintsov},
  journal= {arXiv preprint arXiv:hep-th/9303061},
  year   = {2009}
}

备注

11 pages, LaTex, UTF 287

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