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Related papers: Representing the Graviton Self-Energy on de Sitter…

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Relevant deformations of gravity present an exciting window of opportunity to probe the rigidity of gravity on cosmological scales. For a single-graviton theory, the leading relevant deformation constitutes a graviton mass term. In this…

High Energy Physics - Theory · Physics 2010-11-19 Felix Berkhahn , Dennis D. Dietrich , Stefan Hofmann

We consider the massless, minimally coupled scalar on de Sitter background. Although the 1-loop divergences of the graviton 1PI 2-point function are canceled by the usual Weyl ($C^2$) and Eddington ($R^2$) counterterms, there is still a…

General Relativity and Quantum Cosmology · Physics 2023-12-27 N. C. Tsamis , R. P. Woodard , B. Yesilyurt

In a recent paper (Phys. Rev. D78, 084031 (2008), arXiv:0808.0642, Ref. [1]) it was shown in examples that the covariant retarded Green's functions in particular gauges for electromagnetism and linearized gravity can be used to reproduce…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Atsushi Higuchi , Yen Cheong Lee , Jack R. Nicholas

A new type of integral representation is proposed for the propagators of the massive Klein-Gordon field minimally coupled to the gravity of the de Sitter expanding universe. This representation encapsulates the effects of the Heaviside step…

General Relativity and Quantum Cosmology · Physics 2021-01-15 Ion I. Cotaescu , Ion Cotaescu

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

The monograph offers a coherent and self-contained treatment of massless (ladder) representations of the conformal group U(2,2) and their restriction to the de Sitter group Sp(2,2), combining rigorous representation-theoretic analysis with…

Mathematical Physics · Physics 2026-04-07 Jean-Pierre Gazeau , Hamed Pejhan , Ivan Todorov

We investigate cosmological correlators for conformally coupled $\phi^4$ theory in four-dimensional de Sitter space. These \textit{in-in} correlators differ from scattering amplitudes for massless particles in flat space due to the…

High Energy Physics - Theory · Physics 2024-03-01 Chandramouli Chowdhury , Arthur Lipstein , Jiajie Mei , Ivo Sachs , Pierre Vanhove

We study the semiclassical evolution of a self-gravitating thick shell in Anti-de Sitter space-time. We treat the matter on the shell as made of quantized bosons and evaluate the back-reaction of the loss of gravitational energy which is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. L. Alberghi , R. Casadio

We investigate infrared dynamics of four-dimensional Einstein gravity in de Sitter space. We set up a general framework to investigate dynamical scaling relations in quantum/classical gravitational theories. The conformal mode dependence of…

High Energy Physics - Theory · Physics 2020-02-25 Hiroyuki Kitamoto , Yoshihisa Kitazawa , Takahiko Matsubara

We demonstrate in examples that the covariant retarded Green's functions in electromagnetism and linearized gravity work as expected in de Sitter spacetime. We first clarify how retarded Green's functions should be used in spacetimes with…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Atsushi Higuchi , Yen Cheong Lee

We consider spinor representations of the conformal group. The spacetime is constructed by the 15-dimensional vectors in the adjoint representation of $SO(2,4)$. On the spacetime, we construct a gravitational model that is invariant under…

General Physics · Physics 2017-02-15 K. Nishida

An exact de Sitter solution of scalar-tensor gravity is found, in which the non-minimal coupling scalar is rolling along a non-constant potential. Based on this solution, a dust-filled FRW universe is explored in frame of scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2010-06-22 Hongsheng Zhang , Xin-Zhou Li

Dependence on the graviton gauge enters the conventional effective field equations because they fail to account for quantum gravitational correlations with the source which excites the effective field and with the observer who measures it.…

High Energy Physics - Theory · Physics 2024-07-30 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

We present a generalization of teleparallel gravity that is consistent with local spacetime kinematics regulated by the de Sitter group $SO(1,4)$. The mathematical structure of teleparallel gravity is shown to be given by a nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-12-04 H. Jennen , J. G. Pereira

Minkowski spacetime is transitive under ordinary translations, a transformation that do not have matrix representations. The de Sitter spacetime, on the other hand, is transitive under a combination of translations and proper conformal…

General Relativity and Quantum Cosmology · Physics 2014-02-20 J. G. Pereira , A. C. Sampson , L. L. Savi

The weak field approximation in a model of de Sitter gravity is investigated in the static and spherically symmetric case, under the assumption that the vacuum spacetime without perturbations from matter fields is a torsion-free de Sitter…

General Relativity and Quantum Cosmology · Physics 2013-06-12 Jia-An Lu , Chao-Guang Huang

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

We study the renormalized energy-momentum tensor of gravitons in a de Sitter space-time. After canonically quantizing only the physical degrees of freedom, we adopt the standard adiabatic subtraction used for massless minimally coupled…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Finelli , G. Marozzi , G. P. Vacca , G. Venturi

We consider the Sine-Gordon model coupled to 2D gravity. We find a nonperturbative expression for the partition function as a function of the cosmological constant, the SG mass and the SG coupling constant. At genus zero, the partition…

High Energy Physics - Theory · Physics 2007-05-23 Gregory Moore

We develop a conformally invariant (CI) framework in $(1+3)$-dimensional de Sitter (dS) spacetime, that unifies the descriptions of graviton, ``partially massless'' graviton, and photon fields. This framework is grounded in a rigorous…

General Relativity and Quantum Cosmology · Physics 2025-05-09 Jean-Pierre Gazeau , Hamed Pejhan