Three-Gluon Scattering Amplitude in de Sitter Spacetime
Tomasz R. Taylor, Bin Zhu
TL;DR
This paper computes three-gluon scattering amplitudes in de Sitter spacetime using harmonic analysis and group theory, providing a general formula for all helicity configurations.
Contribution
It introduces a novel method to calculate three-gluon amplitudes in de Sitter space using SO(1,4) symmetry and harmonic forms, extending previous flat-space approaches.
Findings
Derived a general formula for three-gluon amplitudes in de Sitter space.
Expressed amplitudes in terms of Wigner 3j symbols and harmonic integrals.
Applicable to all helicity configurations of gluons.
Abstract
We study three-gluon scattering amplitudes in global de Sitter spacetime, in the angular momentum basis of SO(1,4) symmetry representations. At the tree level, they are determined by the intertwiner integrals of harmonic one-forms on the three-sphere. We derive a general formula valid for all helicity configurations of incoming and outgoing gluons and express the amplitudes in terms of Wigner 3j symbols.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.