Gauge-Invariant Gluon TMD and Evolution in the Coordinate Space
I.O. Cherednikov
TL;DR
This paper discusses a gauge-invariant operator definition of the gluon TMD and derives its evolution equations from the equations of motion in the generalized loop space, connecting Wilson loops of arbitrary shape.
Contribution
It introduces a maximally path-dependent gauge-invariant operator definition of the gluon TMD and derives its evolution equations from the generalized loop space framework.
Findings
Derived evolution equations for gluon TMD in coordinate space
Connected gluon TMD evolution to Wilson loops of arbitrary shape
Provided a gauge-invariant formulation for gluon transverse-momentum distributions
Abstract
Maximally path-dependent gauge-invariant operator definition of the gluon transverse-momentum dependent pdf (gTMD) is discussed. It is argued that the evolution equations for the gTMD in the coordinate representation can be derived from the equations of motion in the generalised loop space, whose elements are the hadronic averages of the Wilson loops of entirely arbitrary shape.
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.
Taxonomy
TopicsParticle physics theoretical and experimental studies · Black Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions