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000291981 1001_ $$0P:(DE-H253)PIP1018678$$aBen-Dayan, Ido$$b0$$eCorresponding author
000291981 245__ $$aOn soft limits of large-scale structure correlation functions
000291981 260__ $$aLondon$$bIOP$$c2015
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000291981 520__ $$aWe study soft limits of correlation functions for the density and velocity fields in the theory of structure formation. First, we re-derive the (resummed) consistency conditions at unequal times using the eikonal approximation. These are solely based on symmetry arguments and are therefore universal. Then, we explore the existence of equal-time relations in the soft limit which, on the other hand, depend on the interplay between soft and hard modes. We scrutinize two approaches in the literature: the time-flow formalism, and a background method where the soft mode is absorbed into a locally curved cosmology. The latter has been recently used to set up (angular averaged) `equal-time consistency relations'. We explicitly demonstrate that the time-flow relations and `equal-time consistency conditions' are only fulfilled at the linear level, and fail at next-to-leading order for an Einstein de-Sitter universe. While applied to the velocities both proposals break down beyond leading order, we find that the `equal-time consistency conditions' quantitatively approximates the perturbative results for the density contrast. Thus, we generalize the background method to properly incorporate the effect of curvature in the density and velocity fluctuations on short scales, and discuss the reasons behind this discrepancy. We conclude with a few comments on practical implementations and future directions.
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000291981 7001_ $$0P:(DE-H253)PIP1015746$$aKonstandin, Thomas$$b1
000291981 7001_ $$aPorto, Rafael A.$$b2
000291981 7001_ $$0P:(DE-H253)PIP1015931$$aSagunski, Laura$$b3
000291981 773__ $$0PERI:(DE-600)2104147-7$$a10.1088/1475-7516/2015/02/026$$gVol. 2015, no. 02, p. 026 - 026$$n02$$p026 -$$tJournal of cosmology and astroparticle physics$$v2015$$x1475-7516$$y2015
000291981 7870_ $$0PUBDB-2014-04194$$aBen-Dayan, Ido et.al.$$d2014$$iIsParent$$rDESY-14-215; arXiv:1411.3225$$tOn Soft Limits of Large-Scale Structure Correlation Functions
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