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We develop a Lagrangian Perturbation Theory (LPT) framework to study the clustering of cold dark matter (CDM) in cosmologies with massive neutrinos. We follow the trajectories of CDM particles with Lagrangian displacements fields up to…

宇宙学与河外天体物理 · 物理学 2020-10-28 Alejandro Aviles , Arka Banerjee

We develop a model-independent approach to lagrangian perturbation theory for the large scale structure of the universe. We focus on the displacement field for dark matter particles, and derive its most general structure without assuming a…

宇宙学与河外天体物理 · 物理学 2024-05-27 Marco Marinucci , Kevin Pardede , Massimo Pietroni

We study Lagrangian Perturbation Theory (LPT) and its regularization in the Effective Field Theory (EFT) approach. We evaluate the LPT displacement with the same phases as a corresponding $N$-body simulation, which allows us to compare…

宇宙学与河外天体物理 · 物理学 2016-03-23 Tobias Baldauf , Emmanuel Schaan , Matias Zaldarriaga

We compare analytic predictions for real and Fourier space two-point statistics for biased tracers from a variety of Lagrangian Perturbation Theory approaches against those from state of the art N-body simulations in $f(R)$ Hu-Sawicki and…

宇宙学与河外天体物理 · 物理学 2019-03-29 Georgios Valogiannis , Rachel Bean

In this work we extend the perturbation theory for modified gravity (MG) in two main aspects. First, the construction of matter overdensities from Lagrangian displacement fields is shown to hold in a general framework, allowing us to find…

宇宙学与河外天体物理 · 物理学 2018-11-22 Alejandro Aviles , Mario Alberto Rodriguez-Meza , Josue De-Santiago , Jorge L. Cervantes-Cota

We investigate the Lagrangian perturbation theory of a homogeneous and isotropic universe in the non-relativistic limit, and derive the solutions up to the fourth order. These solutions are needed for example for the next-to-leading order…

宇宙学与河外天体物理 · 物理学 2012-06-15 Cornelius Rampf , Thomas Buchert

Many models of high energy physics suggest that the cosmological dark sector consists of not just one, but a spectrum of ultralight scalar particles with logarithmically distributed masses. To study the potential signatures of low…

宇宙学与河外天体物理 · 物理学 2021-03-17 Alex Laguë , J. Richard Bond , Renée Hložek , David J. E. Marsh , Laurin Söding

We present a new formulation of Lagrangian perturbation theory which allows accurate predictions of the real- and redshift-space correlation functions of the mass field and dark matter halos. Our formulation involves a non-perturbative…

宇宙学与河外天体物理 · 物理学 2015-06-11 Jordan Carlson , Beth Reid , Martin White

We have continued the development of Lagrangian, cosmological perturbation theory for the low-order correlators of the matter density field. We provide a new route to understanding how the effective field theory (EFT) of large-scale…

宇宙学与河外天体物理 · 物理学 2015-09-16 Zvonimir Vlah , Martin White , Alejandro Aviles

This is part two in a series of papers in which we investigate an approach based on Lagrangian perturbation theory (LPT) to study the non-linear evolution of the large-scale structure distribution in the universe. Firstly, we compute the…

宇宙学与河外天体物理 · 物理学 2012-06-15 Cornelius Rampf , Yvonne Y. Y. Wong

We study the mapping from Lagrangian to Eulerian space in the context of the Effective Field Theory (EFT) of Large Scale Structure. We compute Lagrangian displacements with Lagrangian Perturbation Theory (LPT) and perform the full…

宇宙学与河外天体物理 · 物理学 2016-03-16 Tobias Baldauf , Emmanuel Schaan , Matias Zaldarriaga

We derive a recursion relation in the framework of Lagrangian perturbation theory, appropriate for studying the inhomogeneities of the large scale structure of the universe. We use the fact that the perturbative expansion of the matter…

宇宙学与河外天体物理 · 物理学 2014-03-27 Cornelius Rampf

The Lagrangian perturbation theory provides a simple yet powerful way of computing the nonlinear matter power spectrum, and it has been applied to biased tracers such as halos and galaxies. The number conservation of matter particles allows…

宇宙学与河外天体物理 · 物理学 2025-04-08 Peter Espenshade , Jaiyul Yoo

We present a new method to calculate formation of cosmological structure in the Newtonian limit. The method is based on Lagrangian perturbation theory plus two key theoretical extensions. One advance involves identifying and fixing a…

宇宙学与河外天体物理 · 物理学 2014-12-15 Sharvari Nadkarni-Ghosh , David F. Chernoff

We explore the Lagrangian perturbation theory (LPT) at 1-loop order with Gaussian initial conditions. We present an expansion method to approximately compute the power spectrum in LPT. Our approximate solution has good convergence in the…

宇宙学与河外天体物理 · 物理学 2015-06-17 Naonori S. Sugiyama

The next generation of galaxy surveys like the Dark Energy Spectroscopic Instrument (DESI) and Euclid will provide datasets orders of magnitude larger than anything available to date. Our ability to model nonlinear effects in late time…

宇宙学与河外天体物理 · 物理学 2021-12-15 Atsuhisa Ota , Hee-Jong Seo , Shun Saito , Florian Beutler

We investigate convergence of Lagrangian Perturbation Theory (LPT) by analyzing the model problem of a spherical homogeneous top-hat in an Einstein-deSitter background cosmology. We derive the formal structure of the LPT series expansion,…

宇宙学与河外天体物理 · 物理学 2012-11-27 Sharvari Nadkarni-Ghosh , David F. Chernoff

We present and test a new numerical method to determine second-order Lagrangian displacement fields in the context of modified gravity (MG) theories. We start from the extension of Lagrangian Perturbation Theory to a class of MG models that…

宇宙学与河外天体物理 · 物理学 2020-03-04 Chiara Moretti , Simone Mozzon , Pierluigi Monaco , Emiliano Munari , Marco Baldi

Galaxy surveys demand fast large-scale structure forward models that preserve large-scale phases while providing realistic nonlinear morphology at fixed force resolution. Single-step Lagrangian Perturbation Theory (LPT) solvers are…

宇宙学与河外天体物理 · 物理学 2026-03-26 Francisco-Shu Kitaura , Francesco Sinigaglia

We explore the initial conditions for cosmological N-body simulations suitable for calculating the skewness and kurtosis of the density field. In general, the initial conditions based on the perturbation theory (PT) provide incorrect…

天体物理学 · 物理学 2009-06-23 Takayuki Tatekawa , Shuntaro Mizuno
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