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We provide a general formalism to calculate the infrared correlators of multiple interacting scalar fields in the de Sitter space by means of the stochastic approach. These scalar fields are treated as test fields and hence our result is…

High Energy Physics - Theory · Physics 2013-05-30 Hayato Motohashi , Teruaki Suyama , Jun'ichi Yokoyama

We study the decoherence effect of quantum superposition in de Sitter (dS) spacetime due to the presence of the cosmological horizon. Using the algebraic approach of quantum field theory on curved spacetime, we derive the precise expression…

High Energy Physics - Theory · Physics 2025-01-03 Ran Li

We argue that a scalar field in de Sitter spacetime should feel explicit thermal effects associated with its curvature. Starting from the Bunch-Davies vacuum and a scalar field with small mass compared to the de Sitter curvature, we use the…

High Energy Physics - Theory · Physics 2025-12-08 Nikos Irges , Antonis Kalogirou , Fotis Koutroulis

The propagator for the massless vector field in de Sitter space cannot maintain de Sitter invariance in the general covaraint gauge, except in the exactly transverse gauge limit. This is due to a previously overlooked Ward-Takahashi…

High Energy Physics - Theory · Physics 2024-07-30 Dražen Glavan , Tomislav Prokopec

In the present work the massless vector field in the de Sitter (dS) space has been quantized. "Massless" is used here by reference to conformal invariance and propagation on the dS light-cone whereas "massive" refers to those dS fields…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Garidi , J-P. Gazeau , S. Rouhani , M. V. Takook

Describing dynamics in a gravitational universe with positive cosmological constant, such as de Sitter space, is a conceptually challenging problem. We propose a principle for constructing a quantum system that can potentially be used to…

High Energy Physics - Theory · Physics 2026-05-07 Vladimir Narovlansky

We consider the one-loop effective action due to gravitons in a FLRW background with constant epsilon=-(dH/dt)/H^2. By expanding around epsilon=0 (corresponding to an expansion around de Sitter space), we can study how the deviation from de…

General Relativity and Quantum Cosmology · Physics 2008-07-04 Tomas Janssen , Shun-Pei Miao , Tomislav Prokopec

We study the Lie algebras of the covariant representations transforming the matter fields under the de Sitter isometries. We point out that the Casimir operators of these representations can be written in closed forms and we deduce how…

General Relativity and Quantum Cosmology · Physics 2011-05-09 Ion I. Cotaescu

We try to understand flavor oscillations and to develop the formulae for describing neutrino oscillations in de Sitter space-time. First, the covariant Dirac equation is investigated under the conformally flat coordinates of de Sitter…

High Energy Physics - Theory · Physics 2009-11-11 Xin-Bing Huang

We study symmetry breaking in the static coordinate-system of de Sitter space. This is done with the help of the functional-Schr\"odinger approach used in previous calculations by Ratra [1]. We consider a massless, minimally coupled scalar…

High Energy Physics - Theory · Physics 2016-09-06 András Kaiser , Alan Chodos

Recently a swampland criterion has been proposed that rules out de Sitter vacua in string theory. Such a criterion should hold at all points in the field space and especially at points where the system is on-shell. However there has not…

High Energy Physics - Theory · Physics 2019-02-20 Keshav Dasgupta , Maxim Emelin , Evan McDonough , Radu Tatar

Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group $SO_0(1,4)$ or $Sp(2,2)$ as an appealing substitute to the flat space-time Poincare relativity. Quantum…

High Energy Physics - Theory · Physics 2010-01-28 Jean-Pierre Gazeau , Petr Siegl , Ahmed Youssef

We provide a parametric representation for position-space Feynman integrals of a massive, self-interacting scalar field in deSitter spacetime, for an arbitrary graph. The expression is given as a multiple contour integral over a kernel…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Stefan Hollands

A system of generalized coherent states for the de Sitter group obeying Klein-Gordon equation and corresponding to the massive spin zero particles over the de Sitter space is considered. This allows us to construct the quantized scalar…

High Energy Physics - Theory · Physics 2007-05-23 Semyon Pol'shin

We extend to 5D an approach of a 4D non-perturbative formalism to study scalar metric fluctuations of a 5D Riemann-flat de Sitter background metric. In contrast with the results obtained in 4D, the spectrum of cosmological scalar metric…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Mariano Anabitarte , Mauricio Bellini , Jose Edgar Madriz Aguilar

The problem of the flat limits of the scalar and spinor fields on the de Sitter expanding universe is considered in the rest frame vacuum where the frequencies are separated in rest frames as in special relativity. The phases of the…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Ion I. Cotaescu

As a spacetime with compact spatial sections, de Sitter spacetime does not have a de Sitter-invariant ground state for a minimally-coupled massless scalar field that gives definite expectation values for any observables not invariant under…

High Energy Physics - Theory · Physics 2015-06-04 Don N. Page , Xing Wu

The scale invariance of the quantum fluctuations in de Sitter space leads to the appearance of de Sitter symmetry breaking infra-red logarithms in the graviton propagator. We investigate physical effects of soft gravitons on the local…

High Energy Physics - Theory · Physics 2013-06-14 Hiroyuki Kitamoto , Yoshihisa Kitazawa

We consider small perturbations to a static three-dimensional de Sitter geometry. For early enough perturbations that satisfy the null energy condition, the result is a shockwave geometry that leads to a time advance in the trajectory of…

High Energy Physics - Theory · Physics 2020-08-18 Lars Aalsma , Gary Shiu

The Robertson-Walker spacetimes are conformally flat and so are conformally invariant under the action of the Lie group SO(4,2), the conformal group of Minkowski spacetime. We find a local coordinate transformation allowing the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Aidan J. Keane , Richard K. Barrett
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