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The Large-Scale Structure (LSS) of the Universe provides valuable information for modern cosmology. The future redshift surveys, as DESI (Dark Energy Spectroscopic Instrument), will measure millions of galaxies and quasars, which allows to…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-27 Dante V. Gomez-Navarro

We investigate the scalar perturbations in a class of spatially covariant gravity theory with a dynamical lapse function. Generally, there are two scalar degrees of freedom due to the presence of the velocity of the lapse function. We treat…

General Relativity and Quantum Cosmology · Physics 2022-08-10 Xue-Zheng Zhu , Yang Yu , Xian Gao

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…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-15 Sharvari Nadkarni-Ghosh , David F. Chernoff

Recent developments of Perturbation Theory (PT), specifically the Effective Field Theory of Large Scale Structure (EFTofLSS) and its equivalents, have proven powerful in analyzing galaxy clustering statistics such as the galaxy power…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-22 Joseph Tomlinson , Donghui Jeong

We discuss a new algorithm to generate multi-scale initial conditions with multiple levels of refinements for cosmological "zoom-in" simulations. The method uses an adaptive convolution of Gaussian white noise with a real space transfer…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Oliver Hahn , Tom Abel

This work presents a formalism for deriving likelihoods of the cosmological density field directly from first principles within Perturbation Theory (PT). By assuming a perturbative expansion around the Gaussian initial density field and…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-30 Rodrigo Voivodic

We compute the non-Gaussian contribution to the covariance of the matter power spectrum at one-loop order in Standard Perturbation Theory (SPT), and using the framework of the effective field theory (EFT) of large scale structure (LSS). The…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-08 Daniele Bertolini , Katelin Schutz , Mikhail P. Solon , Jonathan R. Walsh , Kathryn M. Zurek

An analytical solution of the perturbed equations is obtained, which exists in all ergodic models of collisionless spherical stellar systems with a single length parameter. This solution corresponds to variations of this parameter, i.e.,…

Astrophysics of Galaxies · Physics 2023-11-10 Evgeny V. Polyachenko , Ilia G. Shukhman

We introduce a Lagrangian-space Effective Field Theory (LEFT) formalism for the study of cosmological large scale structures. Unlike the previous Eulerian-space construction, it is naturally formulated as an effective field theory of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Rafael A. Porto , Leonardo Senatore , Matias Zaldarriaga

We study cosmological perturbations in models with a single non-local scalar field originating from the string field theory description of the rolling tachyon dynamics. We construct the equation for the energy density perturbations of the…

High Energy Physics - Theory · Physics 2012-11-06 Alexey S. Koshelev , Sergey Yu. Vernov

We propose and prove a family of generalized Lieb-Schultz-Mattis (LSM) theorems for symmetry protected topological (SPT) phases on boson/spin models in any dimensions. The "conventional" LSM theorem, applicable to e.g. any translation…

Strongly Correlated Electrons · Physics 2021-08-11 Shenghan Jiang , Meng Cheng , Yang Qi , Yuan-Ming Lu

We present a perturbative approach within the scope of Kohn-Sham density functional theory (DFT). The method is based on the exact exchange-only optimized effective potential method, and correlation is included via perturbation expansion…

Chemical Physics · Physics 2007-05-23 P. Sule

We investigate the role played by symmetries in the perturbative expansion of the large-scale structure. In particular, we establish which of the coefficients of the perturbation theory kernels are dictated by symmetries and which not. Up…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Guido D'Amico , Marco Marinucci , Massimo Pietroni , Filippo Vernizzi

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

We investigate the scalar perturbations and the possible strong coupling issues of $f(T)$ around a cosmological background, applying the effective field theory (EFT) approach. We revisit the generalized EFT framework of modified…

General Relativity and Quantum Cosmology · Physics 2023-11-22 Yu-Min Hu , Yaqi Zhao , Xin Ren , Bo Wang , Emmanuel N. Saridakis , Yi-Fu Cai

We apply analytic bootstrap techniques to the four-point correlator of fundamental fields in the Wilson-Fisher model. In an $\epsilon$-expansion crossing symmetry fixes the double discontinuity of the correlator in terms of CFT data at…

High Energy Physics - Theory · Physics 2018-08-15 Luis F. Alday , Johan Henriksson , Mark van Loon

We study the effect of cosmological expansion on orbits--galactic, planetary, or atomic--subject to an inverse-square force law. We obtain the laws of motion for gravitational or electrical interactions from general relativity--in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gregory S. Adkins , Jordan McDonnell , Richard N. Fell

After introducing gauge-invariant cosmological perturbation theory we give an improved set of governing equations for multiple fluids including energy transfer. Having defined adiabatic and entropic perturbations we derive the…

Astrophysics · Physics 2007-05-23 Karim A. Malik

In the context of f(R) theories of gravity, we study the cosmological evolution of scalar perturbations by using a completely general procedure. We find that the exact fourth-order differential equation for the matter density perturbations…

Astrophysics · Physics 2015-05-13 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto
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