Scattering amplitudes in affine gravity

Knorr, Benjamin; Ripken, Chris

doi:10.1103/physrevd.103.105019

Cited by 10 publications

(9 citation statements)

References 55 publications

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“…A prime example is the sphere -the Ricci scalar is finite and covariantly constant, so that (94) holds if we let the propagator functions also depend onR. This has been used in the context of affine gravity in [155].…”

Section: Inversion Of the Graviton Two-point Functionmentioning

confidence: 99%

The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order

Knorr

2021

SciPost Phys. Core

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We present a general framework to systematically study the derivative expansion of asymptotically safe quantum gravity. It is based on an exact decoupling and cancellation of different modes in the Landau limit, and implements a correct mode count as well as a regularisation based on geometrical considerations. It is applicable independent of the truncation order. To illustrate the power of the framework, we discuss the quartic order of the derivative expansion and its fixed point structure as well as physical implications.

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Section: Inversion Of the Graviton Two-point Functionmentioning

confidence: 99%

The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order

Knorr

2021

SciPost Phys. Core

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“…In order to commute the contracted derivatives with the propagator functions, we employ the commutation techniques described in Appendix B. These techniques were developed in the context of affine gravity in [94]. Using integration by parts, we can manipulate on which scalar field each derivative acts.…”

Section: Computation Of the Amplitude Functionalmentioning

confidence: 99%

“…In order to compute the propagator and to bring the amplitude functional to a canonical form, we need to compute the commutator of the operator f ( ) with covariant derivatives in a de Sitter background. The following appendix directly follows [94]; here the formalism has been adapted to metric gravity. We want to obtain a formula of the form…”

Section: B Commutation Relations In Constantly-curved Spacesmentioning

confidence: 99%

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De Sitter scattering amplitudes in the Born approximation

Ferrero

Ripken

2022

SciPost Phys.

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We present a covariant framework to compute scattering amplitudes and potentials in a de Sitter background. In this setting, we compute the potential of a graviton-mediated scattering process involving two very massive scalars at tree level. Although the obtained scattering potential reproduces the Newtonian potential at short distances, on Hubble-size length scales it is affected by the constant curvature: effectively, it yields a repulsive force at sub-Hubble distances. This can be attributed to the expansion of the de Sitter universe. Beyond the de Sitter horizon, the potential vanishes identically. Hence, the scattering amplitude unveils the geometric properties of de Sitter spacetime in a novel and nontrivial way.

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Section: B Commutation Relations In Constantly-curved Spacesmentioning

confidence: 99%

De Sitter scattering amplitudes in the Born approximation

Ferrero,

Ripken

2021

Preprint

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We present a covariant framework to compute scattering amplitudes and potentials in a de Sitter background. In this setting, we compute the potential of a graviton-mediated scattering process involving two very massive scalars. Although the obtained scattering potential reproduces the Newtonian potential at short distances, on Hubble-size length scales it is affected by the constant curvature: effectively, it yields a repulsive force at sub-Hubble distances. This can be attributed to the expansion of the de Sitter universe. Beyond the de Sitter horizon, the potential vanishes identically. Hence, the scattering amplitude unveils the geometric properties of de Sitter spacetime in a novel and nontrivial way.

show abstract

Scattering amplitudes in affine gravity

Cited by 10 publications

References 55 publications

The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order

The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order

De Sitter scattering amplitudes in the Born approximation

De Sitter scattering amplitudes in the Born approximation

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