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In the standard picture of cosmological structure formation, the Universe we see today is evolved under the gravitational instability from tiny random fluctuations. In this talk I discuss the onset of non-linearity in the large scale…

Astrophysics · Physics 2007-05-23 Lung-Yih Chiang

We propose and construct a two-parameter perturbative expansion around a Friedmann-Lema\^{i}tre-Robertson-Walker geometry that can be used to model high-order gravitational effects in the presence of non-linear structure. This framework…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 Sophia R. Goldberg , Timothy Clifton , Karim A. Malik

Motivated by isotropization of QCD matter in the initial stages of heavy-ion collisions, we consider a system of scalar fields that undergoes a boost invariant longitudinal expansion. We use the framework of the two-particle irreducible…

High Energy Physics - Phenomenology · Physics 2024-03-19 François Gelis , Sigtryggur Hauksson

We study structure formation in the late Universe within the Vlasov kinetic self-consistent field approach. Our work is principally focused on the use of the modified gravitational potential with a repulsive term of the cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-28 V. G. Gurzadyan , N. N. Fimin , V. M. Chechetkin

The field-theoretical approach is reviewed. Perturbations in general relativity as well as in an arbitrary $D$-dimensional metric theory are studied on a background, which is a solution (arbitrary) of the theory. Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2008-10-16 A. N. Petrov

We adopt a covariant formalism to derive exact evolution equations for nonlinear perturbations, in a universe dominated by two scalar fields. These scalar fields are characterized by non-canonical kinetic terms and an arbitrary field space…

High Energy Physics - Theory · Physics 2009-01-23 Sebastien Renaux-Petel , Gianmassimo Tasinato

Using the closed-time-path formalism, we construct perturbative frameworks, in terms of quasiparticle picture, for studying quasiuniform relativistic quantum field systems near equilibrium and non-equilibrium quasistationary systems. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. Ozaki

We initiate a systematic study of the perturbative nonlinear dynamics of cosmological fluctuations in dark sectors comprising a fraction of non-cold dark matter, for example ultra-light axions or light thermal relics. These mixed dark…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-02 Francesco Verdiani , Emanuele Castorina , Ennio Salvioni , Emiliano Sefusatti

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

Scaling symmetries have previously been examined for classical field theories described by singular Lagrangians; in this article, we apply these results to the first-order formulation of General Relativity. It is shown that the dynamical…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Callum Bell , David Sloan

In this work we present a model of dark matter based on scalar-tensor theory of gravity. With this scalar field dark matter model we study the non-linear evolution of the large scale structures in the universe. The equations that govern the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Mario A. Rodriguez-Meza

It is a review paper. General relativity (GR) is presented in the field theoretical form, where gravitational field (metric perturbations) together with other physical fields are propagated in an auxiliary arbitrary curved background…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Petrov

A scalar field with an exponential potential has the particular property that it is attracted into a solution in which its energy scales as the dominant component (radiation or matter) of the Universe, contributing a fixed fraction of the…

Astrophysics · Physics 2009-10-30 Pedro G. Ferreira , Michael Joyce

We investigate cosmic structure formation in the framework of a path-integral formulation of an $N$-particle ensemble in phase space, dubbed Resummed Kinetic Field Theory (RKFT), up to one-loop perturbative order. In particular, we compute…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-11 Marvin Sipp , Hannes Heisler , Matthias Bartelmann

We show that the formation of large-scale structures through gravitational instability in the expanding universe can be fully described through a path-integral formalism. We derive the action S[f] which gives the statistical weight…

Astrophysics · Physics 2009-11-10 P. Valageas

We construct a field theory to describe energy averaged quantum statistical properties of systems which are chaotic in their classical limit. An expression for the generating function of general statistical correlators is presented in the…

Condensed Matter · Physics 2009-10-28 A. V. Andreev , B. D. Simons , O. Agam , B. L. Altshuler

It is shown that a recently proposed model for the gravitational interaction in non relativistic quantum mechanics is the instantaneous action at a distance limit of a field theoretic model containing a negative energy field. It reduces to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergio De Filippo

This paper examines the growth of dark matter and dark energy perturbations within a non-canonical scalar field model characterized by an exponential potential. Through dynamical system analysis, we identify critical points and track the…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Zanyar Ebrahimi , Kayoomars Karami

We present a new approach to the dynamics of interacting particles with reaction and diffusion. Starting from the underlying discrete stochastic jump process we derive a general field theory describing the dynamics of the density field,…

Statistical Mechanics · Physics 2009-11-11 Alexei Andreanov , Giulio Biroli , Jean-Philippe Bouchaud , Alexandre Lefevre

When recent observational evidence and the GR+FRW+CDM model are combined we obtain the result that the Universe is accelerating, where the acceleration is due to some not-yet-understood "dark sector". There has been a considerable number of…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-17 Jonathan A. Pearson