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Related papers: Infrared-finite graviton two-point function in sta…

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We construct the graviton two-point function for a two-parameter family of linear covariant gauges in n-dimensional de Sitter space. The construction is performed via the mode-sum method in the Bunch-Davies vacuum in the Poincar\'e patch,…

General Relativity and Quantum Cosmology · Physics 2016-06-03 Markus B. Fröb , Atsushi Higuchi , William C. C. Lima

The two-point function of linearized gravitons on de Sitter space is infrared divergent in the standard transverse traceless synchronous gauge defined by $k=0$ cosmological coordinates (also called conformal or Poincare coordinates). We…

High Energy Physics - Theory · Physics 2016-03-22 Atsushi Higuchi , Donald Marolf , Ian A. Morrison

In this paper, the two-point function of linearized gravitons on de Sitter (dS) space is presented. Technically, respecting the dS ambient space notation, the field equation is given by the coordinate-independent Casimir operators of the de…

General Relativity and Quantum Cosmology · Physics 2018-08-16 Hamed Pejhan , Surena Rahbardehghan

We discuss the quantization of linearized gravity in the background de Sitter spacetime using a gauge-invariant formalism to write the perturbed gravitational field in the static patch. This field is quantized after fixing the gauge…

General Relativity and Quantum Cosmology · Physics 2018-04-11 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi

It is known that the covariant graviton two-point function in de Sitter spacetime is infrared divergent for some choices of gauge parameters. On the other hand it is also known that there are no infrared divergences requiring an infrared…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Mir Faizal , Atsushi Higuchi

In our previous paper (Phys. Rev. D 94, 104030 (2016)), inspired by the work of Allen and Turyn (Nucl. Phys. B 292, 813 (1987)), we expressed the graviton two-point function in terms of maximally symmetric bitensors in de Sitter spacetime.…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Surena Rahbardehghan , Hamed Pejhan

We compute the physical graviton two-point function in de Sitter spacetime with three-sphere spatial sections. We demonstrate that the large-distance growth present in the corresponding two-point function in spatially flat de Sitter…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Atsushi Higuchi , Richard H. Weeks

Respecting the group theoretical approach, it is debated that the theory of linear conformal gravity should be formulated through a tensor field of rank-3 and mixed symmetry \cite{binegar}. Pursuing this path, such a field equation was…

General Relativity and Quantum Cosmology · Physics 2015-06-22 S. Rahbardehghan , H. Pejhan , M. Elmizadeh

It is known that the graviton two-point function for the de Sitter invariant "Euclidean" vacuum in a physical gauge grows logarithmically with distance in spatially-flat de Sitter spacetime. We show that this logarithmic behaviour is a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Higuchi , S. S. Kouris

Graviton propagator diverges in certain gauges in de Sitter spacetime. We address this problem in this work by generalizing the infinitesimal BRST transformations in de Sitter spacetime to finite field-dependent BRST (FFBRST)…

High Energy Physics - Theory · Physics 2016-05-04 Mir Faizal , Sudhaker Upadhyay , Bhabani Prasad Mandal

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

The two-point Wightman function of the free photon field defined in a gauge-invariant manner is known to be equivalent to the field-strength two-point function in any spacetime that is topologically trivial. We show that the gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2013-08-23 Atsushi Higuchi

We examine the scalar sector of the covariant graviton two-point function in de Sitter spacetime. This sector consists of the pure-trace part and another part described by a scalar field. We show that it does not contribute to two-point…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Atsushi Higuchi , Spyros S. Kouris

We study the infrared (long distance) behavior of the free photon field in de Sitter spacetime. Using a two-parameter family of gauge fixing terms, we show that the infrared (IR) behavior of the two-point function is highly gauge-dependent…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Ahmed Youssef

We introduce a "radial" two-point invariant for quantum field theory in de Sitter (dS) analogous to the radial coordinate used in conformal field theory. We show that the two-point function of a free massive scalar in the Bunch-Davies…

High Energy Physics - Theory · Physics 2023-11-08 Manuel Loparco , Jiaxin Qiao , Zimo Sun

We compute the tree-level late-time graviton four-point correlation function, and the related quartic wavefunction coefficient, for Einstein gravity in de Sitter spacetime. We derive this result in several ways: by direct calculation, using…

High Energy Physics - Theory · Physics 2023-07-26 James Bonifacio , Harry Goodhew , Austin Joyce , Enrico Pajer , David Stefanyszyn

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

This paper explores infrared quantum effects in the de Sitter space. The notion of "eternal manifolds" is introduced and it is shown that in most cases the de Sitter space doesn't belong to this class. It is unstable under small…

High Energy Physics - Theory · Physics 2008-11-26 A. M. Polyakov

We investigate the nature of infrared divergences for the free graviton and inflaton two-point functions in flat Friedman-Lema\^{\i}tre-Robertson-Walker spacetime. These divergences arise because the momentum integral for these two-point…

General Relativity and Quantum Cosmology · Physics 2018-05-04 Atsushi Higuchi , Nicola Rendell

The two-point function characterizing the stress tensor fluctuations of a massless minimally coupled field for an invariant vacuum state in de Sitter spacetime is discussed. This two-point function is explicitly computed for spacelike…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Albert Roura , Enric Verdaguer
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