Stochastic quantum gravitational inflation

DOI10.1016/J.NUCLPHYSB.2005.06.031zbMATH Open1178.83026arXivgr-qc/0505115OpenAlexW2054597771WikidataQ60154329 ScholiaQ60154329MaRDI QIDQ876162

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Publication date: 16 April 2007

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Abstract: During inflation explicit perturbative computations of quantum field theories which contain massless, non-conformal fields exhibit secular effects that grow as powers of the logarithm of the inflationary scale factor. Starobinskii'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.

Full work available at URL: https://arxiv.org/abs/gr-qc/0505115

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