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A new approach to the vacuum of inflationary models · Around

2010

A new approach to the vacuum of inflationary models

Chen, Shih-Hung, Dent, James B.

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A new approach is given for the implementation of boundary conditions used in solving the Mukhanov-Sasaki equation in the context of inflation.

The familiar quantization procedure is reviewed, along with a discussion of where one might expect deviations from the standard approach to arise.
The proposed method introduces a (model dependent) fitting function for the z"/z and a"/a terms in the Mukhanov-Sasaki equation for scalar and tensor modes, as well as imposes the boundary conditions at a finite conformal time.
As an example, we employ a fitting function, and compute the spectral index, along with its running, for a specific inflationary model which possesses background equations that are analytically solvable.

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