WKB approximation for inflationary cosmological perturbations

Martin J, Schwarz D (2003)
PHYSICAL REVIEW D 67(8).

Journal Article | Published | English

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Abstract
A new method for predicting inflationary cosmological perturbations, based on the Wentzel-Kramers-Brillouin (WKB) approximation, is presented. A general expression for the WKB scalar and tensor power spectra is derived. The main advantage of the new scheme of approximation is that it is valid even if the slow-roll conditions are violated. The method is applied to power-law inflation, which allows a comparison with an exact result. It is demonstrated that the WKB approximation predicts the spectral indices exactly and the amplitude with an error lower than 10%, even in regimes far from scale invariance. The new method of approximation is also applied to a situation where the slow-roll conditions hold. It is shown that the result obtained bears close resemblance with the standard slow-roll calculation. Finally, some possible improvements are briefly mentioned.
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Martin J, Schwarz D. WKB approximation for inflationary cosmological perturbations. PHYSICAL REVIEW D. 2003;67(8).
Martin, J., & Schwarz, D. (2003). WKB approximation for inflationary cosmological perturbations. PHYSICAL REVIEW D, 67(8).
Martin, J., and Schwarz, D. (2003). WKB approximation for inflationary cosmological perturbations. PHYSICAL REVIEW D 67.
Martin, J., & Schwarz, D., 2003. WKB approximation for inflationary cosmological perturbations. PHYSICAL REVIEW D, 67(8).
J. Martin and D. Schwarz, “WKB approximation for inflationary cosmological perturbations”, PHYSICAL REVIEW D, vol. 67, 2003.
Martin, J., Schwarz, D.: WKB approximation for inflationary cosmological perturbations. PHYSICAL REVIEW D. 67, (2003).
Martin, J, and Schwarz, Dominik. “WKB approximation for inflationary cosmological perturbations”. PHYSICAL REVIEW D 67.8 (2003).
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