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A Closure Theory for Nonlinear Evolution of Cosmological Power Spectra
Open accessAbstract
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.
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Citations
Cites
Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications for Cosmology
Spergel, D. N., Bean, R., Dore, O., Nolta, M. R., Bennett, C. L., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., et al. (2007) · The Astrophysical Journal Supplement Series · doi:10.1086/513700 · Cited by 6,778
Cited by
NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL PARAMETER RESULTS
Hinshaw, G., Larson, D., Komatsu, E., Spergel, D. N., Bennett, C. L., Dunkley, J., Nolta, M. R., Halpern, M., Hill, R. S., Odegard, N., et al. (2013) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/208/2/19 · Cited by 5,121
Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
WRIGHT, E. L. (2016) · NASA STI Repository (National Aeronautics and Space Administration) · doi:10.15781/t2st7f05x · Cited by 2,601
Desjacques, V., Jeong, D., & Schmidt, F. (2018) · Physics Reports · doi:10.1016/j.physrep.2017.12.002 · Cited by 817
Matsubara, T. (2008) · Physical Review D · doi:10.1103/physrevd.78.083519 · Cited by 255
Nonlinear evolution of the matter power spectrum in modified theories of gravity
Koyama, K., Taruya, A., & Hiramatsu, T. (2009) · Physical Review D · doi:10.1103/physrevd.79.123512 · Cited by 141
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Metadata
- Authors
- Taruya, A., & Hiramatsu, T.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2008-02-20
- Volume
- 674
- Issue
- 2
- Pages
- 617-635
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W1986074487
- Cited by
- 168
- References
- 1
- FWCI
- 9.63
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Taruya, A., & Hiramatsu, T. (2008). A Closure Theory for Nonlinear Evolution of Cosmological Power Spectra. The Astrophysical Journal. https://doi.org/10.1086/526515
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