Quantum corrections for spinning particles in de Sitter

Abstract

We compute the one-loop quantum corrections to the gravitational potentials of a spinning point particle in a de Sitter background, due to the vacuum polarisation induced by conformal fields in an effective field theory approach. We consider arbitrary conformal field theories, assuming only that the theory contains a large number $N$ of fields in order to separate their contribution from the one induced by virtual gravitons. The corrections are described in a gauge-invariant way, classifying the induced metric perturbations around the de Sitter background according to their behaviour under transformations on equal-time hypersurfaces. There are six gauge-invariant modes: two scalar Bardeen potentials, one transverse vector and one transverse traceless tensor, of which one scalar and the vector couple to the spinning particle. The quantum corrections consist of three different parts: a generalisation of the flat-space correction, which is only significant at distances of the order of the Planck length; a constant correction depending on the undetermined parameters of the renormalised effective action; and a term which grows logarithmically with the distance from the particle. This last term is the most interesting, and when resummed gives a modified power law, enhancing the gravitational force at large distances. As a check on the accuracy of our calculation, we recover the linearised Kerr-de Sitter metric in the classical limit and the flat-space quantum correction in the limit of vanishing Hubble constant.

27 pages, matches published version

References in corpus (22)

• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Second-order Gauge Invariant Cosmological Perturbation Theory: -- Einstein equations in terms of gauge invariant variables --
• On Resumming Inflationary Perturbations beyond One-loop
• Light-like Scattering in Quantum Gravity
• On the proper treatment of massless fields in Euclidean de Sitter space
• Kerr-de Sitter Universe
• Gravitons Enhance Fermions during Inflation
• Canonical Formulation of Spin in General Relativity
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• One-loop gravitational wave spectrum in de Sitter spacetime
• Excitation of Photons by Inflationary Gravitons
• $O(N)$ model in Euclidean de Sitter space: beyond the leading infrared approximation
• Issues Concerning Loop Corrections to the Primordial Power Spectra
• Dynamics of test bodies with spin in de Sitter spacetime
• Cosmological perturbation theory and quantum gravity
• Quantum effects on Lagrangian points and displaced periodic orbits in the Earth-Moon system
• Solving the Effective Field Equations for the Newtonian Potential
• Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes: Two-point functions and renormalized stress-energy tensors
• Matter Quantum Corrections to the Graviton Self-Energy and the Newtonian Potential
• QFT in the flat chart of de Sitter space
• Quantum gravitational corrections for spinning particles
• Renormalizing an initial state

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• Graviton corrections to the Newtonian potential using invariant observables
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance
• Quantum time delay in the gravitational field of a rotating mass
• Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
• One loop corrected conformally coupled scalar mode equations during inflation
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• Resummation of local and non-local scalar self energies via the Schwinger-Dyson equation in de Sitter spacetime
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams
• Uniqueness of gravitational constant at low energies from the connection between spin-2 and spin-0 sectors
• Secular growths and their relation to equilibrium states in perturbative QFT