https://doi.org/10.1140/epjc/s10052-018-5858-1
Regular Article - Theoretical Physics
Wigner distributions for gluons
1
Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai, 400076, India
2
Department of Physics, Indian Institute of Science Education and Research Bhopal, Bhopal Bypass Road, Bhauri, Bhopal, 462066, India
* e-mail: more.physics@gmail.com
Received:
21
February
2018
Accepted:
27
April
2018
Published online:
18
May
2018
We investigate the gluon Wigner distributions for unpolarized, longitudinally polarized and transversely polarized target state. Instead of a nucleon, we take the target state to be a quark dressed with a gluon at one loop and investigate the gluon Wigner distributions at leading twist. Better numerical convergence is obtained compared to an earlier study, that removes the regulator dependence of the results. We present a first calculation of the Wigner distribution for the transversely polarized target and linearly polarized gluon. We study the spin densities in momentum and impact parameter space. We also investigate the quark and gluon helicity and orbital angular momentum distributions at small-x.
© The Author(s), 2018