English

Orbital Angular Momentum Distribution of Gluons at Small-$x$ : Analytic interpolation between Ji and Jaffe-Manohar

High Energy Physics - Phenomenology 2022-06-10 v2 High Energy Physics - Lattice Nuclear Theory

Abstract

In this work, we first introduced a generalized Wilson line gauge link that reproduces both staple and near straight links along the light cone in different parameter limits. We then studied the gauge-invariant bi-local orbital angular momentum operator with such a general gauge link, in the framework of Chen et. al. decomposition of gauge fields. At the appropriate combination of limits, the operator reproduces both Jaffe-Manohar and Ji's operator structure and offers a continuous analytical interpolation between the two.

Keywords

Cite

@article{arxiv.2106.03896,
  title  = {Orbital Angular Momentum Distribution of Gluons at Small-$x$ : Analytic interpolation between Ji and Jaffe-Manohar},
  author = {Raktim Abir and Khatiza Banu and Nahid Vasim},
  journal= {arXiv preprint arXiv:2106.03896},
  year   = {2022}
}

Comments

13 pages, 3 figures, version to appear in Physical Review D