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.

Effective Lagrangian for selfinteracting scalar field theories in curved space-time

Cognola, Guido;Vanzo, Luciano
1993-01-01

Abstract

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.
K., Kirsten; Cognola, Guido; Vanzo, Luciano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/92332
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