STOCHASTIC DYNAMICS OF LARGE-SCALE INFLATION IN DE~SITTER SPACE

Details STOCHASTIC DYNAMICS OF LARGE-SCALE INFLATION IN DE~SITTER SPACE STOCHASTIC DYNAMICS OF LARGE-SCALE INFLATION IN DE~SITTER SPACE

1995-02-16

arxiv.org/abs/gr-qc/9502032v1

Phys.Rev. D53 (1996) 1763-1775

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages RevTex preprint style

Scientific paper

10.1103/PhysRevD.53.1763

In this paper we derive exact quantum Langevin equations for stochastic dynamics of large-scale inflation in de~Sitter space. These quantum Langevin equations are the equivalent of the Wigner equation and are described by a system of stochastic differential equations. We present a formula for the calculation of the expectation value of a quantum operator whose Weyl symbol is a function of the large-scale inflation scalar field and its time derivative. The unique solution is obtained for the Cauchy problem for the Wigner equation for large-scale inflation. The stationary solution for the Wigner equation is found for an arbitrary potential. It is shown that the large-scale inflation scalar field in de Sitter space behaves as a quantum one-dimensional dissipative system, which supports the earlier results. But the analogy with a one-dimensional model of the quantum linearly damped anharmonic oscillator is not complete: the difference arises from the new time dependent commutation relation for the large-scale field and its time derivative. It is found that, for the large-scale inflation scalar field the large time asymptotics is equal to the `classical limit'. For the large time limit the quantum Langevin equations are just the classical stochastic Langevin equations (only the stationary state is defined by the quantum field theory).

Affiliated with

Also associated with

No associations

Rating

STOCHASTIC DYNAMICS OF LARGE-SCALE INFLATION IN DE~SITTER SPACE does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with STOCHASTIC DYNAMICS OF LARGE-SCALE INFLATION IN DE~SITTER SPACE, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and STOCHASTIC DYNAMICS OF LARGE-SCALE INFLATION IN DE~SITTER SPACE will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-518696