Super-Hubble de Sitter Fluctuations and the Dynamical RG
Dec, 2009
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Abstract: (arXiv)
Perturbative corrections to correlation functions for interacting theories in de Sitter spacetime often grow secularly with time, due to the properties of fluctuations on super-Hubble scales. This growth can lead to a breakdown of perturbation theory at late times. We argue that Dynamical Renormalization Group (DRG) techniques provide a convenient framework for interpreting and resumming these secularly growing terms. In the case of a massless scalar field in de Sitter with quartic self-interaction, the resummed result is also less singular in the infrared, in precisely the manner expected if a dynamical mass is generated. We compare this improved infrared behavior with large-N expansions when applicable.Note:
- 33 pages, 4 figures
- Effective field theory
- Cosmology
- Inflation
- space-time: de Sitter
- field theory: scalar: massless
- renormalization group
- fluctuation
- correlation function
- infrared
- perturbation theory: higher-order
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