publication . Article . Preprint . Other literature type . 2013

on the renormalization of the effective field theory of large scale structures

Pajer, Enrico; Zaldarriaga, Matias;
Open Access
  • Published: 20 Aug 2013 Journal: Journal of Cosmology and Astroparticle Physics, volume 2,013, pages 37-37 (eissn: 1475-7516, Copyright policy)
  • Publisher: IOP Publishing
Abstract
Standard perturbation theory (SPT) for large-scale matter inhomogeneities is unsatisfactory for at least three reasons: there is no clear expansion parameter since the density contrast is not small on all scales; it does not fully account for deviations at large scales from a perfect pressureless fluid induced by short-scale non-linearities; for generic initial conditions, loop corrections are UV-divergent, making predictions cutoff dependent and hence unphysical. The Effective Field Theory of Large Scale Structures successfully addresses all three issues. Here we focus on the third one and show explicitly that the terms induced by integrating out short scales, ...
Subjects
free text keywords: Astronomy and Astrophysics, Effective field theory, Einstein, symbols.namesake, symbols, Physics, Cosmology, Classical mechanics, Perturbation theory, Universe, media_common.quotation_subject, media_common, Renormalization, Dissipative system, Density contrast, Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology, High Energy Physics - Theory
Funded by
NSF| Probing Fundamental Physics on Cosmological Scales
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0855425
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics
,
NSF| The Astrophysics of Hydrogen and Helium Reionization
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0907969
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Astronomical Sciences
,
NSF| Probing Fundamental Physics on Cosmological Scales
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 1213563
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics

[1] F. Bernardeau, S. Colombi, E. Gaztanaga and R. Scoccimarro, \Large Scale Structure of the Universe and Cosmological Perturbation Theory," Phys. Rept. 367 (2002) 1 [astro-ph/0112551].

[2] D. Baumann, A. Nicolis, L. Senatore and M. Zaldarriaga, \Cosmological Non-Linearities as an E ective Fluid," arXiv:1004.2488 [astro-ph.CO].

[3] J. J. M. Carrasco, M. P. Hertzberg and L. Senatore, \The E ective Field Theory of Cosmological Large Scale Structures," arXiv:1206.2926 [astro-ph.CO].

[4] M. P. Hertzberg, \The E ective Field Theory of Dark Matter and Structure Formation: Semi-Analytical Results," arXiv:1208.0839 [astro-ph.CO].

[5] M. Pietroni, G. Mangano, N. Saviano and M. Viel, \Coarse-Grained Cosmological Perturbation Theory," JCAP 1201 (2012) 019 [arXiv:1108.5203 [astro-ph.CO]]. [OpenAIRE]

[6] R. Scoccimarro and J. Frieman, \Loop Corrections in Nonlinear Cosmological Perturbation Theory 2. Two Point Statistics and Selfsimilarity," Astrophys. J. 473 (1996) 620 [astro-ph/9602070]. [OpenAIRE]

[7] R. E. Smith et al. [Virgo Consortium Collaboration], Mon. Not. Roy. Astron. Soc. 341, 1311 (2003) [astro-ph/0207664].

[8] C. Orban and D. H. Weinberg, \Self-Similar Bumps and Wiggles: Isolating the Evolution of the Bao Peak with Power-Law Initial Conditions," Phys. Rev. D 84 (2011) 063501 [arXiv:1101.1523 [astro-ph.CO]].

[9] L. M. Widrow, P. J. Elahi, R. J. Thacker, M. Richardson and E. Scannapieco, \Power Spectrum for the Small-Scale Universe," arXiv:0901.4576 [astro-ph.CO].

[10] P. J. E. Peebles, \The large-scale structure of the universe", Princeton University Press

[11] B. Jain and E. Bertschinger, \Selfsimilar Evolution of Cosmological Density Fluctuations," Astrophys. J. 456 (1996) 43 [astro-ph/9503025]. R. Scoccimarro and J. Frieman, \Loop Corrections in Nonlinear Cosmological Perturbation Theory," Astrophys. J. Suppl. 105 (1996) 37 [astro-ph/9509047].

[12] The mathematica le is attached to this arXiv submission

[13] S. Tassev and M. Zaldarriaga, \The Mildly Non-Linear Regime of Structure Formation," JCAP 1204, 013 (2012) [arXiv:1109.4939 [astro-ph.CO]]. S. Tassev and M. Zaldarriaga, \Estimating CDM Particle Trajectories in the Mildly Non-Linear Regime of Structure Formation. Implications for the Density Field in Real and Redshift Space," JCAP 1212, 011 (2012) [arXiv:1203.5785 [astro-ph.CO]]. [OpenAIRE]

[14] S. Engineer, K. Srinivasan and T. Padmanabhan, \A Formal Analysis of Two-Dimensional Gravity," Astrophys. J. 512 (1999) 1 [astro-ph/9805192]. [OpenAIRE]

Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue
publication . Article . Preprint . Other literature type . 2013

on the renormalization of the effective field theory of large scale structures

Pajer, Enrico; Zaldarriaga, Matias;