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Related papers: Linear Gravity in de Sitter universe

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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

Application of Krein space quantization to the linear gravity in de Sitter space-time have constructed on Gupta-Bleuler vacuum state, resulting in removal of infrared divergence and preserving de Sitter covariant. By pursuing this path, the…

General Relativity and Quantum Cosmology · Physics 2019-07-02 M. Enayati , S. Rouhani , M. V. Takook

''Massless'' spin-2 field equation in de Sitter space, which is invariant under the conformal transformation, has been obtained. The frame work utilized is the symmetric rank-2 tensor field of the conformal group. Our method is based on the…

General Relativity and Quantum Cosmology · Physics 2014-06-18 M. Dehghani , S. Rouhani , M. V. Takook , M. R. Tanhayi

The solution to the linearized Einstein equation in de Sitter (dS) spacetime and the corresponding two-point function are explicitly written down in a gauge with two parameters `$a$' and `$b$'. The quantization procedure, independent of the…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Hamed Pejhan , Surena Rahbardehghan

In de Sitter ambient space formalism, the linear gravity can be written in terms of a minimally coupled scalar field and a polarization tensor. In this formalism, the massless minimally coupled scalar field can be quantized on Bunch-Davies…

General Relativity and Quantum Cosmology · Physics 2017-08-21 M. V. Takook , S. Rouhani

In a recent paper [1], it has been shown that negative norm states are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their presence, while leaving unchanged the physical content…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mohammad Vahid Takook

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

In this paper, the ``massless" spin-$\frac{3}{2}$ fields in the de Sitter space are considered. This work is in the continuation of a previous paper devoted to the quantization of the de Sitter ``massive" spin-$\frac{3}{2}$ fields. Due to…

General Relativity and Quantum Cosmology · Physics 2015-06-18 A. Azizi , M. Amiri

From the group theoretical point of view, it is proved that the theory of linear conformal gravity should be written in terms of a tensor field of rank-3 and mixed symmetry [Binegar, et al, Phys. Rev. D 27, (1983) 2249]. We obtained such a…

General Relativity and Quantum Cosmology · Physics 2012-07-10 M. V. Takook , H. Pejhan , M. Reza Tanhayi

We present a covariant quantization scheme for the so-called "partially massless" graviton field in de Sitter spacetime. Our approach is founded on the principles of the de Sitter group representation theory (in the sense given by Wigner),…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Jean-Pierre Gazeau , Hamed Pejhan

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

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

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

Respecting the group theoretical approach, it is discussed that the linear conformal gravity can be written in terms of a mixed symmetry tensor field of rank-3 \cite{binegar}. Following this path, related field equation was obtained in de…

General Relativity and Quantum Cosmology · Physics 2015-02-06 M. Elmizadeh

In the de Sitter ambient space formalism the massless fields, which include the linear gravity and massless minimally coupled scalar field, can be written in terms of two separate parts: a massless conformally coupled scalar field and a…

General Relativity and Quantum Cosmology · Physics 2017-12-29 M. V. Takook

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

In this paper, the linearized field equations related to the quadratic curvature gravity theory have been obtained in the four-dimensional de Sitter (dS) space-time. The massless spin-2 field equations have been written in terms of the…

General Relativity and Quantum Cosmology · Physics 2020-07-15 M. Dehghani , M. R. Setare

In this article, we quantize the Maxwell ("massless spin one") de Sitter field in a conformally invariant gauge. This quantization is invariant under the SO$_0(2,4)$ group and consequently under the de Sitter group. We obtain a new de…

General Relativity and Quantum Cosmology · Physics 2010-01-11 S. Faci , E. Huguet , J. Queva , J. Renaud

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

In this paper we present a covariant quantization of the ``massive'' spin-2 field on de Sitter (dS) space. By ``massive'' we mean a field which carries a specific principal series representation of the dS group. The work is in the direct…

High Energy Physics - Theory · Physics 2015-06-26 T. Garidi , J-P. Gazeau , M. Takook
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