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  Stress tensor fluctuations in de Sitter spacetime

Pérez-Nadal, G., Roura, A., & Verdaguer, E. (2010). Stress tensor fluctuations in de Sitter spacetime. Journal of Cosmology and Astroparticle Physics, 2010(03): 036. doi:10.1088/1475-7516/2010/05/036.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-614E-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6151-2
Genre: Journal Article

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 Creators:
Pérez-Nadal, Guillem, Author
Roura, Albert1, Author              
Verdaguer, Enric, Author
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: 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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 Dates: 2010
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 439688
Other: arXiv:0911.4870
DOI: 10.1088/1475-7516/2010/05/036
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Title: Journal of Cosmology and Astroparticle Physics
Source Genre: Journal
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Publ. Info: Bristol, England : Institute of Physics Pub.
Pages: - Volume / Issue: 2010 (03) Sequence Number: 036 Start / End Page: - Identifier: Other: 111055183238000
Other: 1475-7516