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On the non-linear scale of cosmological perturbation theory

On the non-linear scale of cosmological perturbation theory

On the non-linear scale of cosmological perturbation theory

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Loop expansion <strong>of</strong> PS in <strong>the</strong> limit <strong>of</strong> small kFor small k Fry AJ421 (1994) 21P L−loop (k, z) →(2L + 1)!2 L−1 L!∫ ∫P lin (k, z) · · · F2L+1(k, s q 1, −q 1, . . . , q L , −q L )q 1 q L× P lin (q 1, z) · · · P lin (q L , z)Using property F s 2L+1 ∝ k 2 for k ≪ q i Gor<strong>of</strong>f, Grinstein, Rey, Wise AJ311 (1986) 6P L−loop (k, z) ∝ k 2 P lin (k, z)for small kMathias Garny (DESY Hamburg / CERN)<strong>On</strong> <strong>the</strong> <strong>non</strong>-<strong>linear</strong> <strong>scale</strong> <strong>of</strong> <strong>cosmological</strong> <strong>perturbation</strong> <strong>the</strong>ory

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