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We investigate cosmological perturbations for nonlinear $f(R)$ models within the cosmic screening approach. Matter is considered both in the form of a set of discrete point-like massive bodies and in the form of a continuous pressureless…

General Relativity and Quantum Cosmology · Physics 2018-08-07 Ozgur Akarsu , Ruslan Brilenkov , Maxim Eingorn , Valerii Shulga , Alexander Zhuk

The aim of this review is to outline a full route from the fundamental principles of algebraic quantum field theory on curved spacetime in its present-day form to explicit phenomenological applications which allow for comparison with…

Mathematical Physics · Physics 2013-09-02 Klaus Fredenhagen , Thomas-Paul Hack

In a recent paper [17], we studied the evolution of the background geometry and scalar perturbations in an inflationary, spatially closed Friedmann-Lema\^itre-Robertson-Walker (FLRW) model having constant positive spatial curvature and…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-24 Béatrice Bonga , Brajesh Gupt , Nelson Yokomizo

We reconsider cosmological perturbation theory for multi-component scalars, enforcing covariance in field-space, and ensuring that phyical observations are independent of field re-definitions. We use the formalism to clarify some issues in…

High Energy Physics - Theory · Physics 2015-06-04 Paul M. Saffin

In the spirit of classic works of Wilson on the renormalization group and operator product expansion, a new framework for the study of the theory space of euclidean quantum field theories has been introduced. This formalism is particularly…

High Energy Physics - Theory · Physics 2009-10-22 B. Mikhak , A. M. Zarkesh

A general formula for the correlation function in redshift space is derived in linear theory. The formula simultaneously includes wide-angle effects and cosmological distortions. The formula is applicable to any pair with arbitrary angle…

Astrophysics · Physics 2009-10-31 Takahiko Matsubara

In this work, we study the realisation of unitarity-based cutting rules for primordial cosmological correlators computed within the Schwinger-Keldysh path integral formalism. While cutting rules have been previously derived for wavefunction…

High Energy Physics - Theory · Physics 2026-01-27 Francisco Colipí-Marchant , Gabriel Marin , Gonzalo A. Palma , Francisco Rojas

We examine the computation of wide-angle corrections to the galaxy power spectrum including redshift-space distortions and relativistic Doppler corrections, and also including multiple tracers with differing clustering, magnification and…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-12 Pritha Paul , Chris Clarkson , Roy Maartens

We consider the spectral correlations of clean globally hyperbolic (chaotic) quantum systems. Field theoretical methods are applied to compute quantum corrections to the leading (`diagonal') contribution to the spectral form factor.…

Chaotic Dynamics · Physics 2007-05-23 Jan Müller , Alexander Altland

The fully general calculation of the cosmic error on N-point correlation functions and related quantities is presented. More precisely, the variance caused by the finite volume, discreteness, and edge effects is determined for {\em any}…

Astrophysics · Physics 2016-11-23 I. Szapudi

Large corrections to the inflationary tensor power spectrum have been speculated to emerge either as second-order scalar-induced classical effects, or as 1-loop quantum corrections. These two sources are not independent of each other.…

High Energy Physics - Phenomenology · Physics 2026-05-28 A. Hauser , M. Laine

We apply the method of comparison equations to study cosmological perturbations during inflation, obtaining the full power spectra of scalar and tensor perturbations to first and to second order in the slow-roll parameters. We compare our…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. Casadio , F. Finelli , A. Kamenshchik , M. Luzzi , G. Venturi

All cosmological observations to date are consistent with adiabatic, Gaussian and nearly scale invariant initial conditions. These findings provide strong evidence for a particular symmetry breaking pattern in the very early universe (with…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-26 Jens Chluba , Jan Hamann , Subodh P. Patil

In this paper, we study various cosmological parameters and quantities in scalar-tensor gravity from inflation and swampland conjecture. Therefore, by selecting different models such as power-law, exponential, and logarithmic in the…

General Relativity and Quantum Cosmology · Physics 2022-08-19 S. Noori Gashti , J. Sadeghi

It is known that some cosmological perturbations are conformal invariant. This facilitates the studies of perturbations within some gravitational theories alternative to general relativity, for example the scalar-tensor theory, because it…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Mingzhe Li , Yicen Mou

The halo-galaxy lensing correlation function or the average tangential shear profile over sampled halos is a very powerful means of measuring the halo masses, the mass profile, and the halo-mass correlation function of very large…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-13 Roland de Putter , Masahiro Takada

Correlation functions of primordial density fluctuations provide an exciting probe of the physics governing the earliest moments of our Universe. However, the standard approach to compute them is technically challenging. Theoretical…

High Energy Physics - Theory · Physics 2024-09-26 Denis Werth , Lucas Pinol , Sébastien Renaux-Petel

Inflationary models predict a correlation between primordial density perturbations (scalar metric perturbations) and gravitational waves (tensor metric perturbations) in the form of a scalar-scalar-tensor three-point correlation, or…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-09 Liang Dai , Donghui Jeong , Marc Kamionkowski

In this paper, we provide a systematic investigation of high-order primordial perturbations with nonlinear dispersion relations due to quantum gravitational effects in the framework of {\em uniform asymptotic approximations}. Because of…

General Relativity and Quantum Cosmology · Physics 2016-07-06 Tao Zhu , Anzhong Wang , Klaus Kirsten , Gerald Cleaver , Qin Sheng

We consider general relativity with a cosmological constant as a perturbative expansion around a completely solvable diffeomorphism invariant field theory. This theory is the $\Lambda\to\infty$ limit of general relativity. This allows an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rodolfo Gambini , Jorge Pullin
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