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

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.

14 pages, LaTex, UTF 293

References in corpus (4)

• Finite Size Effects from General Covariance and Weyl Anomaly
• One-loop effective potential on hyperbolic manifolds
• Quantum Field Effect on Symmetry Breaking and Restoration in Anisotropic Spacetimes
• Self-interacting scalar fields on spacetime with compact hyperbolic spatial part

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