Heisenberg-picture approach to the evolution of the scalar fields in an expanding universe

Details Heisenberg-picture approach to the evolution of the scalar fields in an expanding universe Heisenberg-picture approach to the evolution of the scalar fields in an expanding universe

1997-05-23

arxiv.org/abs/gr-qc/9705063v1

Phys.Rev. D56 (1997) 4916-4921

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, RevTeX, no figures

Scientific paper

10.1103/PhysRevD.56.4916

We present the Heisenberg-picture approach to the quantum evolution of the scalar fields in an expanding FRW universe which incorporates relatively simply the initial quantum conditions such as the vacuum state, the thermal equilibrium state, and the coherent state. We calculate the Wightman function, two-point function, and correlation function of a massive scalar field. We find the quantum evolution of fluctuations of a self-interacting field perturbatively and discuss the renormalization of field equations.

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