On soft limits of large-scale structure correlation functions

dc.contributorDeutsch Elektronen Synchrotron DESY
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.creatorBen-Dayan, Ido
dc.creatorKonstandin, Thomas
dc.creatorPorto, Rafael A. [UNESP]
dc.creatorSagunski, Laura
dc.date2015-10-21T19:59:50Z
dc.date2015-10-21T19:59:50Z
dc.date2015-02-01
dc.date.accessioned2023-09-12T06:46:03Z
dc.date.available2023-09-12T06:46:03Z
dc.identifierhttp://iopscience.iop.org/article/10.1088/1475-7516/2015/02/026/meta
dc.identifierJournal Of Cosmology And Astroparticle Physics. Bristol: Iop Publishing Ltd, n. 2, 22 p., 2015.
dc.identifier1475-7516
dc.identifierhttp://hdl.handle.net/11449/128969
dc.identifier10.1088/1475-7516/2015/02/026
dc.identifierWOS:000351502100027
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8778311
dc.descriptionWe 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.
dc.descriptionGerman Science Foundation (DFG) within the Collaborative Research Center 'Particles, Strings and the Early Universe'
dc.descriptionDeutsch Elektronen Synchrotron DESY, Theory Grp, D-22607 Hamburg, Germany
dc.descriptionUniv Estadual Paulista, UNESP, Inst Fis Teor, ICTP South Amer Inst Fundamental Res, BR-01140070 Sao Paulo, Brazil
dc.descriptionUniv Estadual Paulista, UNESP, Inst Fis Teor, ICTP South Amer Inst Fundamental Res, BR-01140070 Sao Paulo, Brazil
dc.descriptionGerman Science Foundation (DFG) within the Collaborative Research Center 'Particles, Strings and the Early Universe': (SFB) 676
dc.format22
dc.languageeng
dc.publisherIop Publishing Ltd
dc.relationJournal Of Cosmology And Astroparticle Physics
dc.relation5.126
dc.relation1,089
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectcosmological perturbation theory
dc.subjectpower spectrum
dc.titleOn soft limits of large-scale structure correlation functions
dc.typeArtigo


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