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Related papers: On the reach of perturbative methods for dark matt…

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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…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Naonori S. Sugiyama

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…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-27 Marco Marinucci , Kevin Pardede , Massimo Pietroni

We present \emph{Unified Lagrangian Perturbation Theory} (ULPT), a perturbative framework for consistently modeling galaxy density fluctuations across real space, redshift space, and post-reconstruction fields. Unlike existing approaches…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-08 Naonori Sugiyama

We present a new method to resum the effect of large scale motions in the Effective Field Theory of Large Scale Structures. Because the linear power spectrum in $\Lambda$CDM is not scale free the effects of the large scale flows are…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Leonardo Senatore , Matias Zaldarriaga

A logarithm transformation over the matter overdensity field $\delta$ brings information from the bispectrum and higher-order n-point functions to the power spectrum. We calculate the power spectrum for the log-transformed field $A$ at one,…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-31 Henrique Rubira , Rodrigo Voivodic

Effective Field Theory (EFT) is a general framework to parametrize the low-energy approximation to a UV model that is widely used in model-independent searches for new physics. The use of EFTs at the LHC can suffer from a 'validity' issue,…

High Energy Physics - Phenomenology · Physics 2026-02-03 Spencer Chang , Markus A. Luty , Teng Ma , Francesco Montagno , Andrea Wulzer

We investigate the purely spatial Lagrangian coordinate transformation from the Lagrangian to the basic Eulerian frame. We demonstrate three techniques for extracting the relativistic displacement field from a given solution in the…

General Relativity and Quantum Cosmology · Physics 2014-12-16 Cornelius Rampf , Alexander Wiegand

We develop the effective field theory (EFT) of perturbations in the context of scalar-tensor theories with a spacelike scalar profile on arbitrary black hole backgrounds. Our construction of the EFT is based on the fact that in the unitary…

General Relativity and Quantum Cosmology · Physics 2025-10-16 Shinji Mukohyama , Emeric Seraille , Kazufumi Takahashi , Vicharit Yingcharoenrat

We present a systematic exploration of dark energy and modified gravity models containing a single scalar field non-minimally coupled to the metric. Even though the parameter space is large, by exploiting an effective field theory (EFT)…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-03 Louis Perenon , Federico Piazza , Christian Marinoni , Lam Hui

We test third-order standard perturbation theory (SPT) as an approximation to non-linear cosmological structure formation. A novel approach is used to numerically calculate the three-dimensional dark matter density field using SPT from the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Nina Roth , Cristiano Porciani

A forward model of matter and biased tracers at arbitrary order in Lagrangian perturbation theory (LPT) is presented. The forward model contains the complete LPT displacement field at any given order in perturbations, as well as all…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-04 Fabian Schmidt

Untangling the connection between redshift space coordinates, a velocity measurement, and three dimensional real space coordinates, is a cosmological problem that is often modeled through a linear understanding of the velocity-position…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-05 Emily Tyhurst , Hamsa Padmanabhan , Ue-Li Pen

We present predictions for redshift-space peculiar velocity statistics in the Lagrangian and Eulerian formulations of the effective field theory (EFT) of large-scale structure. We compute 2-point pairwise velocity statistics up to the…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-07 Shi-Fan Chen , Cullan Howlett , Yan Lai , Fei Qin

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…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-04 Chiara Moretti , Simone Mozzon , Pierluigi Monaco , Emiliano Munari , Marco Baldi

We examine the Lagrangian divergence of the displacement field, arguably a more natural object than the density in a Lagrangian description of cosmological large-scale structure. This quantity, which we denote \psi, quantifies the…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-17 Mark C. Neyrinck

We compute the dark matter velocity dispersion tensor up to third order in perturbation theory using the Lagrangian formalism, revealing growing solutions at the third and higher orders. Our results are general and can be used for any other…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-30 Alejandro Aviles

We investigate the principles of quantum field theory using a stiff de Sitter space. We demonstrate that a non-unitary Lagrangian on a Euclidean AdS geometry can produce the perturbative expansion of late-time correlation functions to all…

High Energy Physics - Theory · Physics 2026-03-05 Sayantan Choudhury

We present an Effective Field Theory (EFT) formalism which describes the dynamics of non-relativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by…

High Energy Physics - Theory · Physics 2013-05-29 Walter D. Goldberger , Ira Z. Rothstein

Perturbation theory (PT) calculation of large-scale structure has been used to interpret the observed non-linear statistics of large-scale structure at the quasi-linear regime. In particular, the so-called standard perturbation theory (SPT)…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-05 Atsushi Taruya , Takahiro Nishimichi , Donghui Jeong

The consistency relations in large scale structure relate the lower-order correlation functions with their higher-order counterparts. They are direct outcome of the underlying symmetries of a dynamical system and can be tested using data…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-23 Dipak Munshi , Donough Regan