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Effective Lagrangian for self-interacting scalar field theories in curved spacetime

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arxiv hep-th/9304092 v1 pith:NCY7EBH7 submitted 1993-04-21 hep-th

Klaus Kirsten , Guido Cognola , Luciano Vanzo This is my paper · ORCID
classification hep-th
keywords fieldbackgroundcurvatureeffectivelagrangianscalarself-interactingconsider
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We consider a self-interacting scalar field theory in a slowly varying gravitational background field. Using zeta-function regularization and heat-kernel techniques, we derive the one-loop effective Lagrangian up to second order in the variation of the background field and up to quadratic terms in the curvature tensors. Specializing to different spacetimes of physical interest, the influence of the curvature on the phase transition is considered.

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Cited by 1 Pith paper

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  1. Two-Measure Electroweak Standard Model. Some aspects of cosmological evolution and vacuum stability

    hep-th 2025-01 reject novelty 5.0 of 10

    The paper derives a two-measure version of the electroweak Standard Model in which couplings run classically with the cosmological background, giving small-xi Higgs inflation and a reparameterized fermion mass hierarchy.

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