Coarse graining and decoherence in quantum field theory

Details Coarse graining and decoherence in quantum field theory Coarse graining and decoherence in quantum field theory

1995-08-11

arxiv.org/abs/hep-th/9508052v1

Phys.Rev.D53:2001-2011,1996

Physics

High Energy Physics

High Energy Physics - Theory

21 pages (RevTeX) and 5 encapsulated postscript figures

Scientific paper

10.1103/PhysRevD.53.2001

We consider a $\lambda \phi^4$ theory in Minkowski spacetime. We compute a "coarse grained effective action" by integrating out the field modes with wavelength shorter than a critical value. From this effective action we obtain the evolution equation for the reduced density matrix (master equation). We compute the diffusion coefficients of this equation and analyze the decoherence induced on the long- wavelength modes. We generalize the results to the case of a conformally coupled scalar field in DeSitter spacetime. We show that the decoherence is effective as long as the critical wavelength is taken to be not shorter than the Hubble radius.

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