Stress tensor fluctuations in de Sitter spacetime

Details Stress tensor fluctuations in de Sitter spacetime Stress tensor fluctuations in de Sitter spacetime

2009-11-25

arxiv.org/abs/0911.4870v1

JCAP 1005:036,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, 4 figures

Scientific paper

10.1088/1475-7516/2010/05/036

The two-point function of the stress tensor operator of a quantum field in de Sitter spacetime is calculated for an arbitrary number of dimensions. We assume the field to be in the Bunch-Davies vacuum, and formulate our calculation in terms of de Sitter-invariant bitensors. Explicit results for free minimally coupled scalar fields with arbitrary mass are provided. We find long-range stress tensor correlations for sufficiently light fields (with mass m much smaller than the Hubble scale H), namely, the two-point function decays at large separations like an inverse power of the physical distance with an exponent proportional to m^2/H^2. In contrast, we show that for the massless case it decays at large separations like the fourth power of the physical distance. There is thus a discontinuity in the massless limit. As a byproduct of our work, we present a novel and simple geometric interpretation of de Sitter-invariant bitensors for pairs of points which cannot be connected by geodesics.

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