O(N) Quantum fields in curved spacetime

Details O(N) Quantum fields in curved spacetime O(N) Quantum fields in curved spacetime

1997-06-02

arxiv.org/abs/gr-qc/9706001v1

Phys.Rev. D56 (1997) 661-677

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, 2 figures, uses RevTeX 3.1, LaTeX 2e, AMSfonts 2.2, graphics 0.6; To appear in Phys. Rev. D (7/15/97)

Scientific paper

10.1103/PhysRevD.56.661

For the O(N) field theory with lambda Phi^4 self-coupling, we construct the two-particle-irreducible (2PI), closed-time-path (CTP) effective action in a general curved spacetime. From this we derive a set of coupled equations for the mean field and the variance. They are useful for studying the nonperturbative, nonequilibrium dynamics of a quantum field when full back reactions of the quantum field on the curved spacetime, as well as the fluctuations on the mean field, are required. Applications to phase transitions in the early Universe such as the Planck scale or in the reheating phase of chaotic inflation are under investigation.

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