Stochastic quantum gravitational inflation

By N. Tsamis, Richard P. Woodard. 2005

231 citations recorded by the source corpus.

Abstract During inflation explicit perturbative computations of quantum field theories which contain massless, nonconformal fields exhibit secular effects that grow as powers of the logarithm of the inflationary scale factor. Starobinskiĭ's technique of stochastic inflation not only reproduces the leading infrared logarithms at each order in perturbation theory, it can sometimes be summed to reveal what happens when inflation has proceeded so long that the large logarithms overwhelm even very small coupling constants. It is thus a cosmological analogue of what the renormalization group does for the ultraviolet logarithms of quantum field theory, and generalizing this technique to quantum gravity is a problem of great importance. There are two significant differences between gravity and the scalar models for which stochastic formulations have so far been given: derivative interactions and the presence of constrained fields. We use explicit perturbative computations in two simple scalar models to infer a set of rules for stochastically formulating theories with these features.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e3b6ec18c0c367c8c6e5a4bb4f9c8990493b7d51

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Citations in the corpus

Infrared effects in inflationary correlation functions (2010, methodology): “(See also Abramo and Woodard [24].)”
EFT beyond the horizon: stochastic inflation and how primordial quantum fluctuations go classical (2014, background): “Late-time resummations Because the stochastic picture governs the long-distance and late-time behaviour, it provides the natural language in which to cast the resummation of IR divergences in de Sitter (and near-de Sitter) space [46], and the associated late-time secular evolution.”
Super-Hubble de Sitter fluctuations and the dynamical RG (2009, background): “[37] which discusses large infrared logarithms in a time-dependent situation, and argues, following a proposal of Starobinsky and Yokoyama [21], that these may be resummed [38] using ideas from stochastic inflation.”