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

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

1993-04-21

arxiv.org/abs/hep-th/9304092v1

Phys.Rev. D48 (1993) 2813-2822

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTex, UTF 293

Scientific paper

10.1103/PhysRevD.48.2813

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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