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Higher Order Slow-Roll Predictions for Inflation

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arxiv gr-qc/0506043 v2 pith:G6P4KBWX submitted 2005-06-07 gr-qc astro-phhep-th

Higher Order Slow-Roll Predictions for Inflation

classification gr-qc astro-phhep-th
keywords orderslow-rollapproximationanalyticalinflationleadingleadsparameters
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We study the WKB approximation beyond leading order for cosmological perturbations during inflation. To first order in the slow-roll parameters, we show that an improved WKB approximation leads to analytical results agreeing to within 0.1% with the standard slow-roll results. Moreover, the leading WKB approximation to second order in the slow-roll parameters leads to analytical predictions in qualitative agreement with those obtained by the Green's function method.

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