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The formalism to compute the geometrical and topological one-point statistics of mildly non-Gaussian 2D and 3D cosmological fields is developed. Leveraging the isotropy of the target statistics, the Gram-Charlier expansion is reformulated…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Christophe Gay , Christophe Pichon , Dmitri Pogosyan

The dynamical realisation of the equation of state $p +\rho =0$ is studied. A non-pathological dynamics for the perturbations of such a system mimicking a dynamical cosmological constant (DCC) requires to go beyond the perfect fluid…

High Energy Physics - Theory · Physics 2025-03-06 Giuseppe di Donato , Luigi Pilo

We present a new analytic approach to describe large scale structure formation in the mildly non-linear regime. The central object of the method is the time-dependent probability distribution function generating correlators of the…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-09 Diego Blas , Mathias Garny , Mikhail M. Ivanov , Sergey Sibiryakov

New Ekpyrotic Cosmology is an alternative scenario of the early universe which relies on a phase of slow contraction before the big bang. We calculate the 3-point and 4-point correlation functions of primordial density perturbations and…

High Energy Physics - Theory · Physics 2008-11-26 Evgeny I. Buchbinder , Justin Khoury , Burt A. Ovrut

Heavy fields of Hubble scale order present during inflation contribute to the non-Gaussian signature for the three-point function of the inflaton. Taking into account that Hubble scale is around the scale of grand unified theory (GUT), this…

High Energy Physics - Phenomenology · Physics 2021-01-27 Nobuhito Maru , Akira Okawa

It is generally expected that heavy fields are present during inflation, which can leave their imprint in late-time cosmological observables. The main signature of these fields is a small amount of distinctly shaped non-Gaussianity, which…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-05 P. Daniel Meerburg , Moritz Münchmeyer , Julian B. Muñoz , Xingang Chen

The microscopic dynamics of particle collisions is imprinted into the statistical properties of asymptotic energy flux, much like the dynamics of inflation is imprinted into the cosmic microwave background. This energy flux is characterized…

High Energy Physics - Phenomenology · Physics 2022-08-24 Hao Chen , Ian Moult , Jesse Thaler , Hua Xing Zhu

We show that the nonlinear evolution of the cosmic gravitational clustering is approximately spatial local in the $x$-$k$ (position-scale) phase space if the initial perturbations are Gaussian. That is, if viewing the mass field with modes…

Astrophysics · Physics 2009-11-10 Long-Long Feng , Li-Zhi Fang

It is shown that under essentially all conditions, the non-linear classical equations governing gravitation and matter in cosmology have a solution in which far outside the horizon in a suitable gauge the reduced spatial metric (the spatial…

High Energy Physics - Theory · Physics 2008-12-30 Steven Weinberg

The coherent state of a nonlinear oscillator having a nonlinear spectrum is constructed using Gazeau Klauder formalism. The weighting distribution and the Mandel parameter are studied. Details of the revival structure arising from different…

Quantum Physics · Physics 2015-05-14 Bikashkali Midya , Barnana Roy , Atreyee Biswas

Assuming a LCDM universe in a single-field inflationary scenario, we compute the three-point correlation function of the observed matter density fluctuation in the squeezed triangular configuration, accounting for all the relativistic…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-25 Jaiyul Yoo , Nastassia Grimm , Ermis Mitsou

In string theory inspired models of axion-like fields, sub-leading non-perturbative effects, if sufficiently large, can introduce steep cliffs and gentle plateaus onto the underlying scalar potential. During inflation, the motion of a…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-22 Ogan Özsoy

This work investigates several key aspects of a non--commutative theory with mass deformation. We calculate thermodynamic properties of the system and compare our results with recent literature. We examine the \textit{quasinormal} modes of…

General Relativity and Quantum Cosmology · Physics 2023-11-30 N. Heidari , H. Hassanabadi , A. A. Araújo Filho , J. Kriz , S. Zare , P. J. Porfírio

We introduce a novel unbiased, cross-correlation estimator for the one-point statistics of cosmological random fields. One-point statistics are a useful tool for analysis of highly non-Gaussian density fields, while cross-correlations…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Patrick C. Breysse , Dongwoo T. Chung , Håvard T. Ihle

Non-Gaussianity in the inflationary perturbations can couple observable scales to modes of much longer wavelength (even superhorizon), leaving as a signature a large-angle modulation of the observed cosmic microwave background (CMB) power…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Fabian Schmidt , Lam Hui

We develop a possibility of generating tensor non-Gaussianity in a kind of anisotropic inflation, where a $U(1)$ gauge field is kinetically coupled to a spectator scalar field. Owing to this coupling, the coherent mode of the electric field…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-31 Takashi Hiramatsu , Kai Murai , Ippei Obata , Shuichiro Yokoyama

Noncommutative geometry can provide effective description of physics at very short distances taking into account generic effects of quantum gravity. Inflation amplifies tiny quantum fluctuations in the early universe to macroscopic scales…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-18 Tomi S. Koivisto , David F. Mota

Motivated by the gravity/fluid correspondence, we introduce a new method for characterizing nonlinear gravitational interactions. Namely we map the nonlinear perturbative form of the Einstein equation to the equations of motion of a…

General Relativity and Quantum Cosmology · Physics 2015-04-16 Huan Yang , Fan Zhang , Stephen R. Green , Luis Lehner

In this paper we extend the form of interaction term into the non-linear regime in the ghost dark energy model. A general form of non-linear interaction term is presented and cosmic dynamic equations are obtained. Next, the model is…

General Relativity and Quantum Cosmology · Physics 2016-11-03 E. Ebrahimi , H. Golchin

Signals of heavy particle production during inflation are encoded as non-analytic momentum scaling in primordial non-Gaussianity. These non-analytic signatures can be sourced by Standard Model particles with a modified Higgs scale uplifted…

High Energy Physics - Phenomenology · Physics 2019-05-02 Yi-Peng Wu