Reconstructing a general inflationary action

Details Reconstructing a general inflationary action Reconstructing a general inflationary action

2008-01-04

arxiv.org/abs/0801.0742v3

Phys.Rev.D78:023517,2008

Astronomy and Astrophysics

Astrophysics

16 pages, 1 figure, References added, typos corrected

Scientific paper

10.1103/PhysRevD.78.023517

If inflation is to be considered in an unbiased way, as possibly originating from one of a wide range of underlying theories, then observations need not be simply applied to reconstructing the inflaton potential, V(\phi), or a specific kinetic term, as in DBI inflation, but rather to reconstruct the inflationary action in its entirety. We discuss the constraints that can be placed on a general single field action from measurements of the primordial scalar and tensor fluctuation power spectra and non-Gaussianities. We also present the flow equation formalism for reconstructing a general inflationary Lagrangian, L(X,\phi), with X={1/2}\partial_\mu\phi\partial^\mu\phi, in a general gauge, that reduces to canonical and DBI inflation in the specific gauge \partial L/\partial X = c_s^{-1}.

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