On the non-linear scale of cosmological perturbation theory

More documents

Recommendations

Info

Loop expansion of PS in the limit of small kUsing property F s 2L+1 ∝ k 2 /q 2 for k ≪ q i and q =max(q i )P L−loop → P small−kL−loop= − 244π325 k2 P lin (k, z) × C L ×∫ ∞0dqP lin (q, z) σ 2L−2l (q, z)with coeff. C L (C 1 = 1, C 2 ≃ 0.71, C 3 ≃ 1.05) and scale-dep. varianceσ 2 l (q, z) ≡ 4π∫ q0dp p 2 P lin (p, z)Mathias Garny (DESY Hamburg / CERN)On the non-linear scale of cosmological perturbation theory
Loop expansion of PS in the limit of small kUsing property F s 2L+1 ∝ k 2 /q 2 for k ≪ q i and q =max(q i )P L−loop → P small−kL−loop= − 244π325 k2 P lin (k, z) × C L ×∫ ∞0dqP lin (q, z) σ 2L−2l (q, z)with coeff. C L (C 1 = 1, C 2 ≃ 0.71, C 3 ≃ 1.05) and scale-dep. varianceσ 2 l (q, z) ≡ 4π∫ q0dp p 2 P lin (p, z)Estimate for Eisenstein-Hu spectrum with n s ≃ 1P small−kL−loop ∝ k 2 (3L − 1)!P lin (k, z) × C L × D +(z) 2L2 3L⇒ Loop expansion is divergent series even at small k and for any zMathias Garny (DESY Hamburg / CERN)On the non-linear scale of cosmological perturbation theory
Page 1: On the non-linear scale of cosmolog
Page 4 and 5: Standard Perturbation TheoryPoisson
Page 6 and 7: Standard Perturbation Theory100Plin
Page 8 and 9: Standard Perturbation TheoryMany ap
Page 10 and 11: Loop expansion of PS in the limit o
Page 14 and 15: Loop expansion of PS in the limit o
Page 16 and 17: Padé ansatzGoal: improve convergen
Page 18 and 19: Result for Padé resummed small-k l
Page 20 and 21: Padé improved PT vs N-body1.4z⩵0
Page 22 and 23: ConclusionThree loop larger than on
Page 24 and 25: Expansion parameter∫ kσl 2 (k, z
Page 26 and 27: Padé improved PT vs N-body1.4z⩵0

On the non-linear scale of cosmological perturbation theory

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?