Stress tensor fluctuations in de Sitter spacetime

Pérez-Nadal, Guillem; Roura, Albert; Verdaguer, Enric

doi:10.1088/1475-7516/2010/05/036

Cited by 51 publications

(89 citation statements)

References 81 publications

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“…The contribution from two 3-point vertices (the leftmost diagram) is nonzero. For noncoincident points it gives a relatively simple form which agrees with the flat space limit [27] and with the de Sitter stress tensor correlator recently derived by Perez-Nadal, Roura and Verdaguer [28].…”

Section: Scalar Propagator On De Sittersupporting

confidence: 82%

“…Section 3 derives the relatively simple form for the D-dimensional graviton self-energy with noncoincident points. We show that this version of the result agrees with the flat space limit [27] and with the de Sitter stress tensor correlators recently derived by Perez-Nadal, Roura and Verdaguer [28]. Section 4 undertakes the vastly more difficult reorganization which must be done to isolate the local divergences for renormalization.…”

supporting

confidence: 77%

“…A true de Sitter check is provided by the stress tensor correlators recently derived by Perez-Nadal, Roura and Verdaguer [28]. To exploit their result we first elucidate the relation between the graviton 2-point 1PI function and correlators of the stress tensor.…”

Section: Correspondence With Stress Tensor Correlatorsmentioning

confidence: 98%

“…The expectation value on the right hand side of (77) is the stress tensor correlator F µνρσ of Perez-Nadal, Roura and Verdaguer [28]. Perez-Nadal, Roura and Verdaguer actually derived F µνρσ for a scalar with arbitrary mass, but we can compare our result (47) for the massless case with their equation (28) [28]…”

Section: Correspondence With Stress Tensor Correlatorsmentioning

confidence: 99%

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Scalar contribution to the graviton self-energy during inflation

Park

Woodard

2011

Phys. Rev. D

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We use dimensional regularization to evaluate the one loop contribution to the graviton self-energy from a massless, minimally coupled scalar on a locally de Sitter background. For noncoincident points our result agrees with the stress tensor correlators obtained recently by Perez-Nadal, Roura and Verdaguer. We absorb the ultraviolet divergences using the R 2 and C 2 counterterms first derived by 't Hooft and Veltman, and we take the D = 4 limit of the finite remainder. The renormalized result is expressed as the sum of two transverse, 4th order differential operators acting on nonlocal, de Sitter invariant structure functions. In this form it can be used to quantum-correct the linearized Einstein equations so that one can study how the inflationary production of infrared scalars affects the propagation of dynamical gravitons and the force of gravity.

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Section: Scalar Propagator On De Sittersupporting

confidence: 82%

supporting

confidence: 77%

Section: Correspondence With Stress Tensor Correlatorsmentioning

confidence: 98%

Section: Correspondence With Stress Tensor Correlatorsmentioning

confidence: 99%

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Scalar contribution to the graviton self-energy during inflation

Park

Woodard

2011

Phys. Rev. D

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“…• For gravity plus a scalar the one loop scalar contribution to the noncoincident (and hence unregulated) graviton self-energy has been computed [40].…”

mentioning

confidence: 99%

The graviton propagator in de Donder gauge on de Sitter background

Miao

Tsamis

Woodard

2011

Journal of Mathematical Physics

121

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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 scalar structure functions preserve spatial homogeneity and isotropy so that the propagator can be used within the larger context of inflationary cosmology, however, it is simple to alter the residual symmetry. Because our gauge condition is de Sitter invariant (although no solution for the propagator can be) renormalization should be simpler using this propagator than one based on a noncovariant gauge. It remains to be seen how other computational steps compare.

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IR divergences and kinetic equation in de Sitter space. (Poincare patch; principal series)

Ахмедов

2012

J. High Energ. Phys.

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We explicitly show that the one loop IR correction to the two-point function in de Sitter space scalar QFT does not reduce just to the mass renormalization. The proper interpretation of the loop corrections is via particle creation revealing itself through the generation of the quantum averages a + p a p , a p a −p and a + p a + −p , which slowly change in time. We show that this observation in particular means that loop corrections to correlation functions in de Sitter space can not be obtained via analytical continuation of those calculated on the sphere.We find harmonics for which the particle number a + p a p dominates over the anomalous expectation values a p a −p and a + p a + −p . For these harmonics the Dyson-Schwinger equation reduces in the IR limit to the kinetic equation. We solve the latter equation, which allows us to sum up all loop leading IR contributions to the Wightman function. We perform the calculation for the principal series real scalar fields both in expanding and contracting Poincare patches.

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Stress tensor fluctuations in de Sitter spacetime

Cited by 51 publications

References 81 publications

Scalar contribution to the graviton self-energy during inflation

Scalar contribution to the graviton self-energy during inflation

The graviton propagator in de Donder gauge on de Sitter background

IR divergences and kinetic equation in de Sitter space. (Poincare patch; principal series)

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