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In these lectures we give a review of recent attempts to understand quantum gravity on de Sitter spaces. In particular, we discuss the holographic correspondence between de Sitter gravity and conformal field theories proposed by Hull and by…

High Energy Physics - Theory · Physics 2009-11-10 Dietmar Klemm , Luciano Vanzo

In this paper, admitting a de Sitter (dS)-invariant vacuum in an indefinite inner product space, we present a Gupta-Bleuler type setting for causal and full dS-covariant quantization of free "massless" spin-2 field in dS spacetime. The term…

General Relativity and Quantum Cosmology · Physics 2018-08-13 Hamed Pejhan , Kazuharu Bamba , Surena Rahbardehghan , Mohammad Enayati

The theory of gauge-fixed Maxwell equations in linear isotropic dielectrics is developed using a generalisation of the standard $R_\xi$ gauge-fixing term. In static space-times, the theory can be quantised using the Gupta-Bleuler method,…

Quantum Physics · Physics 2023-12-05 Thomas Mieling

Quantum de Sitter geometry is discussed using elementary field operator algebras in Krein space quantization from an observer-independent point of view, {\it i.e.} ambient space formalism. In quantum geometry, the conformal sector of the…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Mohammad Vahid Takook

Realizing dark energy and the observed de Sitter spacetime in quantum gravity has proven to be obstructed in most every usual approach. We argue that additional degrees of freedom of the left- and right-movers in string theory and a…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Per Berglund , Tristan Hubsch , Djordje Minic

We propose a generalisation of the Weak Gravity Conjecture in de Sitter space by studying charged black-holes and comparing the gravitational and an abelian gauge forces. Using the same condition as in flat space, namely the absence of…

High Energy Physics - Theory · Physics 2020-10-28 Ignatios Antoniadis , Karim Benakli

Over the last ten years interest in the physics of de Sitter spacetime has been growing very fast. Besides the supposed existence of a "de sitterian period" in inflation theories, the observational evidence of an acceleration of the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Jean-Pierre Gazeau , Ahmed Youssef

The $S$-matrix formulation indicates that a consistent embedding of de Sitter state in quantum gravity is possible exclusively as an excited quantum state constructed on top of a valid $S$-matrix vacuum such as Minkowski. In the present…

High Energy Physics - Theory · Physics 2025-06-12 Lasha Berezhiani , Gia Dvali , Otari Sakhelashvili

We investigate the quantum aspects of three-dimensional gravity with a positive cosmological constant. The reduced phase space of the three-dimensional de Sitter gravity is obtained as the space which consists of the Kerr-de Sitter…

High Energy Physics - Theory · Physics 2010-04-05 Hiroshi Umetsu , Naoto Yokoi

The vacuum expectation value of the square of the field fluctuations of a scalar field on a background consisting of {\it two} de Sitter branes embedded in an anti-de Sitter bulk are considered. We apply a dimensional reduction to obtain an…

High Energy Physics - Theory · Physics 2009-10-09 Wade Naylor , Misao Sasaki

We propose in this paper a quantization scheme for real Klein-Gordon field in de Sitter spacetime. Our scheme is generally covariant with the help of vierbein, which is necessary usually for spinor field in curved spacetime. We first…

High Energy Physics - Theory · Physics 2023-09-06 Sze-Shiang Feng

Recently, it has been proposed that the dimension of the Hilbert space of quantum gravity in deSitter space is finite and moreover it is expressed in terms of the coupling constants by using the entropy formula. A weaker conjecture would be…

High Energy Physics - Theory · Physics 2007-05-23 Anastasia Volovich

In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these…

High Energy Physics - Theory · Physics 2008-11-26 Gregory Gabadadze , Yanwen Shang

Linearized Einstein gravity (with possibly nonzero cosmological constant) is quantized in the framework of algebraic quantum field theory by analogy with Dimock's treatment of electromagnetism [Rev. Math. Phys. 4 (1992) 223--233]. To…

Mathematical Physics · Physics 2013-09-13 Christopher J. Fewster , David S. Hunt

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…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi

It is known that quantum field theories in curved spacetime suffer from a number of pathologies, including the inability to relate states on different spatial slices by proper unitary time-evolution operators. In this article, we illustrate…

High Energy Physics - Theory · Physics 2025-12-19 William T. Emond , Christian Käding , Peter Millington

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 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

We consider a $SO(d)$ gauge theory in an Euclidean $d$-dimensional space-time, which is known to be renormalizable to all orders in perturbation theory for $2\le{d}\le4$. Then, with the help of a space-time representation of the gauge…

High Energy Physics - Theory · Physics 2008-11-26 R. F. Sobreiro , V. J. Vasquez Otoya

We have estimated higher order quantum gravity corrections to de~Sitter spacetime. Our results suggest that, while the classical spacetime metric may be distorted by the graviton self-interactions, the corrections are relatively weaker than…

General Relativity and Quantum Cosmology · Physics 2009-10-22 A. D. Dolgov , M. B. Einhorn , V. I. Zakharov