Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions
Abstract
We perform an analysis of transverse-momentum dependent parton distribution functions, making use of their renormalization properties in terms of their leading-order anomalous dimensions. We show that the appropriate Wilson line in the light-cone gauge, associated with such quantities, is a cusped one. To cancel the ensuing cusp anomalous dimension, we include in the definition of the transverse-momentum dependent parton distribution functions an additional soft counter term (gauge link) along that contour. We demonstrate that this is tantamount to an ``intrinsic (Coulomb) phase'', which accumulates the full gauge history of the color-charged particle.
Keywords
Cite
@article{arxiv.0710.1955,
title = {Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions},
author = {I. O. Cherednikov and N. G. Stefanis},
journal= {arXiv preprint arXiv:0710.1955},
year = {2008}
}
Comments
4 pages, 3 figures embedded. v2: derivation of transverse gauge link added including one more figure. Text expanded to 6 pages. Four references added. Conclusions unchanged. Matches version to appear in PRD