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arXiv · 2409.03965

Parton Distributions of Gluons in Different Representations

J. P. Ma·G. P. Zhang
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Abstract

It has been questioned if gluon distributions defined in different representations of $SU(N)$ are the same. The question has arisen in the connection to the recently proposed resolution of the so-called axial gauge puzzle. We give a proof that gluon distributions defined in the fundamental- and adjoint representation, where gauge links consist of those which are all future-pointing or all past-pointing, are same. These gauge links are needed to make the distributions gauge invariant. When these links consist of not only future-pointing gauge links but also past-pointing ones, then the puzzle appears. We examine the puzzle for distributions at one-loop in the cases with gauge links along time-like-, space-like- and light-cone direction.

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J. P. Ma, G. P. Zhang. 2024-09-06. Parton Distributions of Gluons in Different Representations. https://arxiv.org/abs/2409.03965

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