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Cosmological perturbation theory for large scale structure in phase space
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Cosmological perturbation theory for large scale structure in phase space
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We develop a framework for Large Scale Structure (LSS) perturbation theory, that solves the Vlasov-Poisson system of equations for the distribution function in full phase space. This approach relaxes the usual apriori assumption of negligible velocity dispersion underlying the Standard Perturbation Theory (SPT). We apply the new method to rederive the usual SPT kernels up to third order in the perturbative expansion. We also show that a counterterm, identical to the one introduced by standard Effective Field Theory (EFT) methods, naturally arises within our framework. We finish by making a precise connection to EFT techniques, which reveals the necessity of the EFTofLSS to self-consistently model the long-wavelength fluid, and illustrates the importance of having theoretical control over short distance fluctuations.
Forward citations
Cited by 3 Pith papers
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Phase-space perturbation theory for cosmic large-scale structure
A phase-space perturbation theory solves the Vlasov-Poisson system without truncating momentum cumulants, recovers standard results for cold initial conditions, and generates higher cumulants dynamically from slight i...
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Dominated-Convergence Failure in Cosmological Perturbation Theory and a Numerical Foundation for BBGKY+ZA
Identifies dominated-convergence obstruction as root cause of divergences in EPT and LPT, and supplies numerical building blocks for a BBGKY+ZA approach that evades the issue.
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GGI Lectures on Large-Scale Structure Perturbation Theory (Effective Field Theory)
Pedagogical notes derive large-scale-structure EFT from symmetries, covering SPT failures, BAO IR resummation, counterterms, galaxy bias, redshift-space distortions, and Lagrangian PT.
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