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We consider light scalar fields during inflation and show how the stochastic spectral expansion method can be used to calculate two-point correlation functions of an arbitrary local function of the field in de Sitter space. In particular,…

General Relativity and Quantum Cosmology · Physics 2019-08-02 Tommi Markkanen , Arttu Rajantie , Stephen Stopyra , Tommi Tenkanen

We study the two-dimensional version of a quartic self-interacting quantum scalar field on a curved and noncommutative space (Snyder-de Sitter). We show that the model is renormalizable at the one-loop level and compute the beta functions…

High Energy Physics - Theory · Physics 2022-07-20 S. A. Franchino-Viñas , S. Mignemi

We discuss the symmetry aspects of quantum field theory in global four-dimensional de Sitter spacetime linked to $SO(1,4)$ isometries. For the unitary irreducible representations relevant to elementary particles, we obtain explicit…

High Energy Physics - Theory · Physics 2026-04-13 Audrey Lindsay , Tomasz R. Taylor

We study the effect of the Einstein - de Sitter (EdS) approximation on the one-loop power spectrum of galaxies in redshift space in the Effective Field Theory of Large-Scale Structure. The dark matter density perturbations and velocity…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-22 Yaniv Donath , Leonardo Senatore

It is known that de Sitter spacetime can be seen as the solution of field equation for completely isotropic matter. In the present paper a new class of exact solutions in spherical symmetry is found and discussed, such that the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Roberto Giambo'

We continue a previous study about the infrared loop effects in the $D$-dimensional de Sitter space for a real scalar $\phi^4$ theory from the complementary series whose bare mass belongs to the interval $\frac{\sqrt{3}}{4}\,…

High Energy Physics - Theory · Physics 2017-07-12 E. T. Akhmedov , U. Moschella , K. E. Pavlenko , F. K. Popov

We consider an infrared truncated massless minimally coupled scalar field with a quartic self-interaction in the locally de Sitter background of an inflating universe. We compute the two-point correlation function of the scalar at one and…

General Relativity and Quantum Cosmology · Physics 2015-06-03 V. K. Onemli

Based on the stochastic gravity, we study the loop corrections to the scalar and tensor perturbations during inflation. Since the loop corrections to scalar perturbations suffer infrared (IR) divergence, we consider the IR regularization to…

High Energy Physics - Theory · Physics 2010-01-11 Yuko Urakawa , Kei-ichi Maeda

We calculate the first quantum gravitational correction term to the trace anomaly in De Sitter space from the Wheeler-DeWitt equation. This is obtained through an expansion of the full wave functional for gravity and a conformally coupled…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Claus Kiefer

We study the complex scalar loop corrections to the boundary-boundary gauge two point function in pure AdS space in Poincare coordinates, in the presence of a boundary quadratic perturbation to the scalar. These perturbations correspond to…

High Energy Physics - Theory · Physics 2011-02-25 Ling-Yan Hung , Yanwen Shang

The Poincar\'e sector of a recently deformed conformal algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, the symmetries of a new relativistic theory with two observer-independent…

High Energy Physics - Theory · Physics 2016-11-09 Nicola Rossano Bruno

In a spacetime with no global timelike Killing vector, we do not have a natural choice for the vacuum state of matter fields, leading to an ambiguity in defining the Feynman propagators. In this paper, taking the vacuum state to be the…

High Energy Physics - Theory · Physics 2013-07-24 Masafumi Fukuma , Yuho Sakatani , Sotaro Sugishita

We have estimated higher order quantum gravity corrections to de~Sitter spacetime. Our results suggest that, while the classical spacetime metric may be distorted by the graviton self-interactions, the corrections are relatively weaker than…

General Relativity and Quantum Cosmology · Physics 2009-10-22 A. D. Dolgov , M. B. Einhorn , V. I. Zakharov

In previous papers [1,2], it was proved that a covariant quantization of the minimally coupled scalar field in de Sitter space is achieved through addition of the negative norm states. This causal approach which eliminates the infrared…

General Relativity and Quantum Cosmology · Physics 2009-11-10 S. Rouhani , M. V. Takook

In this paper we will analyse the inner product for gauge theories in de Sitter spacetime. This will be done by analysing an Euclidean version of the de Sitter metric. Thus, the de Sitter metric will be related to the metric on a…

General Physics · Physics 2014-08-28 Asloob Ahmad Rather , Ashaq Hussain Sofi , Shabir Ahmad Akhoon , Anil Maini

The cosmological primordial power spectrum is known to be one of the most promising observable to probe quantum gravity effects. In this article, we investigate how the tensor power spectrum is modified by Loop Quantum Gravity corrections.…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. Grain , T. Cailleteau , A. Barrau , A. Gorecki

We construct the Wightman function for symmetric traceless tensors and Dirac fermions in dS$_{d+1}$ in a coordinate and index free formalism using a $d+2$ dimensional ambient space. We expand the embedding space formalism to cover spinor…

High Energy Physics - Theory · Physics 2022-12-16 Ben Pethybridge , Vladimir Schaub

We study leading order perturbative corrections to the two point correlation function of the scalar field describing the curvature perturbation in a slow-roll inflationary background, paying particular attention to the contribution of…

High Energy Physics - Theory · Physics 2015-06-03 Wei Xue , Xian Gao , Robert Brandenberger

Nonlinear deformations of relativistic symmetries at the Planck scale are usually addressed in terms of modified dispersion relations. We explore here an alternative route by directly deforming the two-point functions of an underlying field…

High Energy Physics - Theory · Physics 2008-11-26 Ivan Agullo , Jose Navarro-Salas , Gonzalo J. Olmo , Leonard Parker

We present full analytic results for the four-point one-loop amplitude of a conformally coupled scalar in four-dimensional Anti-de-Sitter space dual to a primary operator with scaling dimension 1. The computation is based on an intriguing…

High Energy Physics - Theory · Physics 2025-10-20 Sven F. Stawinski
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