Inflation: Flow, fixed points and observables to arbitrary order in slow roll

By W. Kinney. 2002

157 citations recorded by the source corpus.

I generalize the inflationary flow equations of Hoffman and Turner to arbitrary order in slow roll. This makes it possible to study the predictions of slow roll inflation in the full observable parameter space of the tensor/scalar ratio r, spectral index n, and running $dn/d\mathrm{ln}k.$ It also becomes possible to identify exact fixed points in the parameter flow. I numerically evaluate the flow equations to fifth order in slow roll for a set of randomly chosen initial conditions and find that the models cluster strongly in the observable parameter space, indicating a ``generic'' set of predictions for slow roll inflation. I comment briefly on the interesting proposed correspondence between flow in inflationary parameter space and renormalization group flow in a boundary conformal field theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/278a0be551963014dacac3df748cb34438399ee1

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Citations in the corpus

First-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications For Inflation (2003, methodology): “Note that, as pointed out in Kinney (2002b), there is a typographical error in defining C in Liddle et al. (1994) that was inherited by Kinney (2002a).”