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We formulate the graviton propagator on de Sitter background in a 2-parameter family of simple gauges which break de Sitter invariance. Explicit results are derived for the first order perturbations in each parameter. These results should…

General Relativity and Quantum Cosmology · Physics 2019-10-15 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

We construct the graviton propagator on de Sitter background in exact de Donder gauge. We prove that it must break de Sitter invariance, just like the propagator of the massless, minimally coupled scalar. Our explicit solutions for its two…

General Relativity and Quantum Cosmology · Physics 2011-12-30 S. P. Miao , N. C. Tsamis , R. P. Woodard

We construct the graviton propagator in de Sitter space in a one-parameter family of non-covariant gauges. This family generalizes the simple gauge in which most graviton loop computations in de Sitter space have been performed. The…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Dražen Glavan

We evaluate the one-graviton loop contribution to the vacuum polarization on de Sitter background in a 1-parameter family of exact, de Sitter invariant gauges. Our result is computed using dimensional regularization and fully renormalized…

General Relativity and Quantum Cosmology · Physics 2015-09-17 D. Glavan , S. P. Miao , Tomislav Prokopec , R. P. Woodard

We explicitly work out the de Sitter breaking contributions to the recent solution for the de Donder gauge graviton propagator on de Sitter. We also provide explicit power series expansions for the two structure functions, which are…

General Relativity and Quantum Cosmology · Physics 2012-02-13 E. O. Kahya , S. P. Miao , R. P. Woodard

A nice paper by Morrison demonstrates the recent convergence of opinion that has taken place concerning the graviton propagator on de Sitter background. We here discuss the few points which remain under dispute. First, the inevitable decay…

General Relativity and Quantum Cosmology · Physics 2014-05-09 S. P. Miao , P. J. Mora , N. C. Tsamis , R. P. Woodard

I argue against the widespread notion that manifest de Sitter invariance on the full de Sitter manifold is either useful or even attainable in gauge theories. Green's functions and propagators computed in a de Sitter invariant gauge are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. P. Woodard

We demonstrate that certain gauge fixing functionals cannot be added to the action on backgrounds such as de Sitter in which a linearization instability is present. We also construct the field dependent gauge transformation which carries…

General Relativity and Quantum Cosmology · Physics 2010-01-15 S. P. Miao , N. C. Tsamis , R. P. Woodard

We present remarkably simple covariant expressions for the graviton and ghost propagators in Anti-de Sitter and de-Sitter spacetimes valid in any spacetime dimension. In gravity there is a $2$-parameter family of covariant gauge-fixing…

High Energy Physics - Theory · Physics 2025-12-25 Radu N. Moga , Kostas Skenderis

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…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Atsushi Higuchi , Spyros S. Kouris

A system of generalized coherent states for the de Sitter group obeying the Klein-Gordon equation and corresponding to the massive spin zero particles over the de Sitter space is considered. This allows us to construct the quantized scalar…

High Energy Physics - Theory · Physics 2008-11-26 Semyon Pol'shin

We investigate gauge dependence of one-graviton-loop corrections to the effective field equation of the massless, minimally coupled scalar in de Sitter, obtained by including source and observer corrections to the effective self-mass…

High Energy Physics - Theory · Physics 2026-04-23 Dražen Glavan , Shun-Pei Miao , Tomislav Prokopec , Richard P. Woodard

We construct the graviton propagator in $n$-dimensional anti-de Sitter spacetime in the most general covariant gauge. We then study the behaviour of this propagator for different values of the gauge parameters. We will show that in any…

General Relativity and Quantum Cosmology · Physics 2015-06-03 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)…

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

A system of generalized coherent states for the de Sitter group obeying Klein-Gordon equation and corresponding to the massive spin zero particles over the de Sitter space is considered. This allows us to construct the quantized scalar…

High Energy Physics - Theory · Physics 2007-05-23 Semyon Pol'shin

We construct the scalar and graviton propagator in quasi de Sitter space up to first order in the slow roll parameter $\epsilon\equiv -\dot{H}/H^2$. After a rescaling, the propagators are similar to those in de Sitter space with an…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Tomas Janssen , Tomislav Prokopec

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

The propagator for the massless vector field in de Sitter space cannot maintain de Sitter invariance in the general covaraint gauge, except in the exactly transverse gauge limit. This is due to a previously overlooked Ward-Takahashi…

High Energy Physics - Theory · Physics 2024-07-30 Dražen Glavan , Tomislav Prokopec

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

For there is always a wrong sign in the mass of graviton in the so-called perturbation expansion approximation of both Minkowski and de Sitter spacetimes, the existence of gravitational wave from the metric perturbation of de Sitter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Liao Liu
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