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We study two-point correlation functions of a massive free scalar field in de Sitter space using the heat kernel formalism. Focusing on two operators in conjugate static patches we derive a geodesic approximation to the two-point correlator…

High Energy Physics - Theory · Physics 2023-08-17 Lars Aalsma , Mir Mehedi Faruk , Jan Pieter van der Schaar , Manus Visser , Job de Witte

We propose a new approach to compute correlators of quantum fields in de Sitter space. It is based on nonequilibrium field theory techniques, and exploits de Sitter symmetries so as to partially reduce the number of independent variables of…

High Energy Physics - Theory · Physics 2015-06-12 R. Parentani , J. Serreau

We demonstrate how free massive scalar fields in the set up that usually appears in early universe inflationary studies, correspond to the principal series and complementary series representations of the group SO(d+1,1) by introducing…

High Energy Physics - Theory · Physics 2024-05-01 Gizem Sengor , Constantinos Skordis

We examine long-wavelength correlation functions of massive scalar fields in de Sitter spacetime. For the theory with a quartic self-interaction, the two-point function is calculated up to two loops. Comparing our results with the…

General Relativity and Quantum Cosmology · Physics 2022-04-25 Alexander Yu. Kamenshchik , Alexei A. Starobinsky , Tereza Vardanyan

We compute the boundary two point functions of operators corresponding to massive spin 1 and spin 2 de Sitter fields, by an extension of the ``S-Matrix'' approach developed for bulk scalars. In each case the two point functions are of the…

High Energy Physics - Theory · Physics 2009-11-07 Oisin A. P. Mac Conamhna

We propose a Mellin space approach to the evaluation of late-time momentum-space correlation functions of quantum fields in $\left(d+1\right)$-dimensional de Sitter space. The Mellin-Barnes representation makes manifest the analytic…

High Energy Physics - Theory · Physics 2020-02-19 Charlotte Sleight

In this paper we calculate two-point correlation functions of a massive probe scalar field in the background of the three-dimensional Janus solution. We relate the equation of motion of the scalar to Heun's equation and use the recently…

High Energy Physics - Theory · Physics 2025-06-24 Michael Gutperle , Christina Yeo

We present a method to compute the two-point functions for an $O(N)$ scalar field model in de Sitter spacetime, avoiding the well known infrared problems for massless fields. The method is based on an exact treatment of the Euclidean zero…

High Energy Physics - Theory · Physics 2016-11-01 Diana López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

We explore two-point and four-point correlation functions of a massive scalar field on the flat de Sitter background in the long-wavelength approximation. By employing the Yang-Feldman-type equation, we compute the two-point correlation…

High Energy Physics - Theory · Physics 2025-04-18 Alexander Kamenshchik , Polina Petriakova

We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field…

High Energy Physics - Theory · Physics 2023-02-22 Heng-Yu Chen , Shi Chen , Yasuaki Hikida

The two-point function of the stress tensor operator of a quantum field in de Sitter spacetime is calculated for an arbitrary number of dimensions. We assume the field to be in the Bunch-Davies vacuum, and formulate our calculation in terms…

General Relativity and Quantum Cosmology · Physics 2010-06-15 Guillem Pérez-Nadal , Albert Roura , Enric Verdaguer

The symmetry group of the de Sitter spacetime, accommodates fields of various masses and spin among its unitary irreducible representations. These unitary representations are labeled by the spin and the weight contribution to the scaling…

High Energy Physics - Theory · Physics 2020-06-30 Gizem Sengor , Constantinos Skordis

There are at least three different types of secular effects in the two-point correlation functions in scalar quantum field theories in de Sitter space-time. The first one is specific to de Sitter massless and tachyonic minimally coupled…

High Energy Physics - Theory · Physics 2019-04-17 E. T. Akhmedov , U. Moschella , F. K. Popov

We study the dynamics of light quantum scalar fields in de Sitter space on superhorizon scales. We compute the self-energy of an O(N) symmetric theory at next-to-leading order in a 1/N expansion in the regime of superhorizon momenta, and we…

High Energy Physics - Theory · Physics 2015-12-09 Florian Gautier , Julien Serreau

We propose a new approach for constructing the late-time conformal boundary of quantum field theory in de Sitter spacetime. A boundary theory which consists of a continuous family of primary operators residing on unitary irreducible…

High Energy Physics - Theory · Physics 2024-12-03 Kamran Salehi Vaziri

The two-point function of a free massive scalar field on a fixed background can be evaluated in the large mass limit by using a semiclassical geodesic approximation. In de Sitter space, however, this poses a puzzle. Certain spacelike…

High Energy Physics - Theory · Physics 2023-03-22 Shira Chapman , Damián A. Galante , Eleanor Harris , Sameer U. Sheorey , David Vegh

We consider the stochastic quantization method for scalar fields defined in a curved manifold. The two-point function associated to a massive self-interacting scalar field is evaluated, up to the first order level in the coupling constant…

High Energy Physics - Theory · Physics 2009-03-20 T. C. de Aguiar , G. Menezes , N. F. Svaiter

We discuss the quantization of a scalar particle moving in two-dimensional de Sitter space. We construct the conformal quantum mechanical model on the asymptotic boundary of de Sitter space in the infinite past. We obtain explicit…

High Energy Physics - Theory · Physics 2009-11-07 Scott Ness , George Siopsis

We holographically calculate two-point functions in the pseudo-conformal universe, an early universe alternative to inflation. The pseudo-conformal universe can be modeled as a defect conformal field theory, where the reheating surface is a…

High Energy Physics - Theory · Physics 2021-01-04 Mariana Carrillo-Gonzalez , Kurt Hinterbichler , James Stokes , Mark Trodden

Behaviour of a weekly self-interacting scalar field with a small mass in the de Sitter background is investigated using the stochastic approach (including the case of a double-well interaction potential). Existence of the de Sitter…

Astrophysics · Physics 2010-04-06 Alexei A. Starobinsky , Jun'ichi Yokoyama
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