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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…

广义相对论与量子宇宙学 · 物理学 2013-08-23 Atsushi Higuchi

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…

高能物理 - 理论 · 物理学 2016-03-22 Atsushi Higuchi , Donald Marolf , Ian A. Morrison

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.…

广义相对论与量子宇宙学 · 物理学 2017-04-04 Surena Rahbardehghan , Hamed Pejhan

We present an expression for the Weyl-Weyl two-point function in de Sitter spacetime, based on a recently calculated covariant graviton two-point function with one gauge parameter. We find that the Weyl-Weyl two-point function falls off…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Spyros S. Kouris

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…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. V. Takook

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…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Atsushi Higuchi , Spyros S. Kouris

We study quantum gravitational perturbations in the static patch of de Sitter space. In particular, we determine the symplectic inner product of these perturbations and use it to write down the graviton two-point function in the state…

广义相对论与量子宇宙学 · 物理学 2014-07-23 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi

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…

广义相对论与量子宇宙学 · 物理学 2018-08-16 Hamed Pejhan , Surena Rahbardehghan

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,…

广义相对论与量子宇宙学 · 物理学 2016-06-03 Markus B. Fröb , Atsushi Higuchi , William C. C. Lima

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…

广义相对论与量子宇宙学 · 物理学 2016-12-21 Hamed Pejhan , Surena Rahbardehghan

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…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Atsushi Higuchi , Richard H. Weeks

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…

广义相对论与量子宇宙学 · 物理学 2009-10-31 A. Higuchi , S. S. Kouris

This thesis consists of three parts. In the first part we review the quantization of Yang-Mills theories and perturbative quantum gravity in curved spacetime. In the second part we calculate the Feynman propagators of the Faddeev-Popov…

广义相对论与量子宇宙学 · 物理学 2011-05-17 Mir Faizal

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)…

高能物理 - 理论 · 物理学 2016-05-04 Mir Faizal , Sudhaker Upadhyay , Bhabani Prasad Mandal

We consider the recent argument by Higuchi, Marolf and Morrison [1] that a nonlocal gauge transformation can be used to eliminate the infrared divergence of the graviton propagator, when evaluated in Bunch-Davies vacuum on the open…

广义相对论与量子宇宙学 · 物理学 2011-12-30 S. P. Miao , N. C. Tsamis , R. P. Woodard

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…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Atsushi Higuchi , Spyros S. Kouris

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),…

广义相对论与量子宇宙学 · 物理学 2023-09-25 Jean-Pierre Gazeau , Hamed Pejhan

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…

广义相对论与量子宇宙学 · 物理学 2011-07-29 Ahmed Youssef

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…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Mohammad Vahid Takook

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…

广义相对论与量子宇宙学 · 物理学 2015-06-22 S. Rahbardehghan , H. Pejhan , M. Elmizadeh
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