A Closure Theory for Nonlinear Evolution of Cosmological Power Spectra

By A. Taruya, Takashi Hiramatsu. 2007

159 citations recorded by the source corpus.

We apply a nonlinear statistical method in turbulence to the cosmological perturbation theory and derive a closed set of evolution equations for matter power spectra. The resultant closure equations consistently recover the one-loop results of standard perturbation theory, and beyond that, it is still capable of treating the nonlinear evolution of matter power spectra. We find the exact integral expressions for the solutions of closure equations. These analytic expressions coincide with the renormalized one-loop results presented by Crocce and Scoccimarro apart from the vertex renormalization. By constructing the nonlinear propagator, we analytically evaluate the nonlinear matter power spectra based on the first-order Born approximation of the integral expressions and compare it with those of the renormalized perturbation theory.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/19fec3ea820cc38626c722ea65b6c076b9a1474a

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In Astronomy and Astrophysics

1. L. Senatore
2. M. Zaldarriaga
3. D. Green
4. M. White
5. D. Baumann
6. T. Baldauf
7. Uros Seljak
8. R. Scoccimarro

Citations in the corpus

• Cosmological parameter constraints from SDSS luminous red galaxies: a new treatment of large-scale clustering (2009, background): “…R T H E MO D E L F O R TH E S H A P E O F ξ (r) In recent years, substantial progress has been made in understanding the non-linear gravitational evolution of density fluctuations (Crocce & Scoccimarro 2006a, 2008; Matarrese & Pietroni 2007; Matsubara 2008; Pietroni 2008; Taruya & Hiramatsu 2008).”
• Testing Inflation with Large Scale Structure: Connecting Hopes with Reality (2014, methodology): “ite limited. Various techniques to improve upon the PT are suggested: Renormalization group approach [168], Resumming perturbation [169], Renormalized Perturbation 23 Theory [170{172], Closure theory [173], Lagrangian perturbation theory [174], TimeRG theory [175], Eective eld theory approach [176{1”
• The effective field theory of cosmological large scale structures (2012, background): “An incomplete sample of these works is given by [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25].”
• Flowing with time: a new approach to non-linear cosmological perturbations (2008, methodology): “diagrams and the renormalization group (RG) [22, 23, 13, 14] have been shown to be able to render a PS in agreement with that from N-body simulations down to z = 0 [13, 14, 15]. For related work, see [24, 25, 26, 27, 28, 29, 30, 31]. While these semi-analytic models have proved themselves a viable a”
• REVISING THE HALOFIT MODEL FOR THE NONLINEAR MATTER POWER SPECTRUM (2012, methodology): “Taruya & Hiramatsu (2008).”
• Multipoint propagators in cosmological gravitational instability (2008, methodology): “This reformulation of the gravitational perturbation theory also finds alternative approaches [11, 13, 14, 25, 26], which give further insights into resummation schemes introduced by RPT.”