Derivation of the Gauge Link in Light Cone Gauge
Abstract
In light cone gauge, a gauge link at light cone infinity is necessary for transverse momentum-dependent parton distribution to restore the gauge invariance in some specific boundary conditions. We derive such transverse gauge link in a more regular and general method. We find the gauge link at light cone infinity naturally arises from the contribution of the pinched poles: one is from the quark propagator and the other is hidden in the gauge vector field in light cone gauge. Actually, in the amplitude level, we have obtained a more general gauge link over the hypersurface at light cone infinity which is beyond the transverse direction. The difference of such gauge link between semi-inclusive deep inelastic scattering and Drell-Yan processes can also be obtained directly and clearly in our derivation.
Keywords
Cite
@article{arxiv.1005.4305,
title = {Derivation of the Gauge Link in Light Cone Gauge},
author = {Jian-Hua Gao},
journal= {arXiv preprint arXiv:1005.4305},
year = {2010}
}
Comments
18 pages, 5 figures, published version