5 research outputs found
Breakdown of Semiclassical Methods in de Sitter Space
Massless interacting scalar fields in de Sitter space have long been known to
experience large fluctuations over length scales larger than Hubble distances.
A similar situation arises in condensed matter physics in the vicinity of a
critical point, and in this better-understood situation these large
fluctuations indicate the failure in this regime of mean-field methods. We
argue that for non-Goldstone scalars in de Sitter space, these fluctuations can
also be interpreted as signaling the complete breakdown of the semi-classical
methods widely used throughout cosmology. By power-counting the infrared
properties of Feynman graphs in de Sitter space we find that for a massive
scalar interacting through a \lambda \phi^4$ interaction, control over the loop
approximation is lost for masses smaller than m \simeq \sqrt \lambda H/2\pi,
where H is the Hubble scale. We briefly discuss some potential implications for
inflationary cosmology.Comment: 24 pages, 7 figures, v2; added references, clarified the resummation
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