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We consider the covariant graviton propagator in de Sitter spacetime in a gauge with two parameters, alpha and beta, in the Euclidean approach. We give an explicit form of the propagator with a particular choice of beta but with arbitrary…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Atsushi Higuchi , Spyros S. Kouris

In this paper, considering the linearized Einstein equation with a two-parameter family of linear covariant gauges in de Sitter spacetime, we examine possible vacuum states for the gravitons field with respect to invariance under the de…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Kazuharu Bamba , Surena Rahbardehghan , Hamed Pejhan

The Wightman two-point function for the gravitational field in the linear approximation (the rank-2 ``massless'' tensor field) on de Sitter space has a pathological behaviour for large separated points (infrared divergence). This behaviour…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. V. Takook

Perturbation of gravitational fields may be decomposed into scalar,vector and tensor components.In this paper we concern with the evolution of tensor mode perturbations in a spatially closed deSitter background of RW form. It may be thought…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Amir H. Abbassi , J. Khodagholizadeh , Amir M. Abbassi

We revisit the classical theory of ten-dimensional two-derivative gravity coupled to fluxes, scalar fields, D-branes, anti D-branes and Orientifold-planes. We show that such set-ups do not give rise to a four-dimensional positive curvature…

High Energy Physics - Theory · Physics 2015-06-18 Keshav Dasgupta , Rhiannon Gwyn , Evan McDonough , Mohammed Mia , Radu Tatar

The action of the discrete symmetries on the scalar mode functions of the de Sitter spacetime is studied. The invariance with respect to a combination of discrete symmetries is put forward as a criterion to select a certain vacuum out of a…

General Relativity and Quantum Cosmology · Physics 2014-10-07 Ion I. Cotaescu , Gabriel Pascu

A brief review of cosmology in some generalized modified gravity theories with vacuum polarization is presented. Stability question of de Sitter solution is investigated.

General Relativity and Quantum Cosmology · Physics 2009-01-14 Petr Tretyakov

We stochastically formulate the theory of scalar quantum electrodynamics on a de Sitter background. This reproduces the leading infrared logarithms at each loop order. It also allows one to sum the series of leading infrared logarithms to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Prokopec , N. C. Tsamis , R. P. Woodard

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

This is a short summary of the paper hep-th/9910037. An algebra of functions on q-deformed Anti-de Sitter space AdS_q^D is defined for q a root of unity, which is covariant under U_q(so(2,D-1)). The scalar fields have an intrinsic high-…

Quantum Algebra · Mathematics 2007-05-23 Harold Steinacker

We consider single graviton loop corrections to the effective field equation of a massless, minimally coupled scalar on de Sitter background in the simplest gauge. We find a large temporal logarithm in the approach to freeze-in at late…

General Relativity and Quantum Cosmology · Physics 2022-03-16 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

We study the scattering problem in the static patch of de Sitter space, i.e. the problem of field evolution between the past and future horizons of a de Sitter observer. We calculate the leading-order scattering for a conformally massless…

High Energy Physics - Theory · Physics 2021-03-31 Emil Albrychiewicz , Yasha Neiman

We provide a general method for studying a manifestly covariant formulation of $p$-form gauge theories on the de Sitter space. This is done by stereographically projecting the corresponding theories, defined on flat Minkowski space, onto…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee

An algebra of functions on q-deformed Anti-de Sitter space AdS_q^D is defined which is covariant under U_q(so(2,D-1)), for q a root of unity. The star-structure is studied in detail. The scalar fields have an intrinsic high-energy cutoff,…

High Energy Physics - Theory · Physics 2014-11-18 Harold Steinacker

Just because the propagator of some field obeys a de Sitter invariant equation does not mean it possesses a de Sitter invariant solution. The classic example is the propagator of a massless, minimally coupled scalar. We show that the same…

General Relativity and Quantum Cosmology · Physics 2011-12-30 S. P. Miao , N. C. Tsamis , R. P. Woodard

For the tensor field of rank-2 there are two unitary irreducible representation (UIR) in de Sitter (dS) space denoted by $\Pi^{\pm}_{2,2}$ and $\Pi^{\pm}_{2,1}$ [1]. In the flat limit only the $\Pi^{\pm}_{2,2}$ coincides to the UIR of…

General Relativity and Quantum Cosmology · Physics 2011-01-27 H. Pejhan , M. R. Tanhayi , M. V. Takook

We apply the S-matrix formalism developed in Part I to the interacting scalar theory in four-dimensional de Sitter spacetime. The amplitudes are computed in the angular momentum basis, appropriate to the representations of $SO(1,4)$ de…

High Energy Physics - Theory · Physics 2025-10-01 Tomasz R. Taylor , Bin Zhu

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

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

Backreactions are considered in a de Sitter spacetime whose cosmological constant is generated by the potential of scalar field. The leading order gravitational effect of nonlinear matter fluctuations is analyzed and it is found that the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 B. Losic , W. G. Unruh