Rapidity divergences and valid definitions of parton densities
High Energy Physics - Phenomenology
2009-02-19 v2
Abstract
Rapidity divergences occur when parton densities in a gauge theory are defined in the most natural way, as expectation values of partonic number operators in light-front quantization. I review these and other related divergences, and show how the definitions of parton densities can be modified to remove the divergences. A modified definition is not only essential for many phenomenological applications of QCD, but also concerns the treatment of parton densities in non-perturbative approaches. The necessity of modifications in the definition of a parton density also entails corrections in the formulation of light-front quantization for gauge theories.
Cite
@article{arxiv.0808.2665,
title = {Rapidity divergences and valid definitions of parton densities},
author = {John Collins},
journal= {arXiv preprint arXiv:0808.2665},
year = {2009}
}
Comments
9 pages. To appear in Proceedings of LIGHT CONE 2008