Regularization of the Light-Cone Gauge Gluon Propagator Singularities Using Sub-Gauge Conditions
Abstract
Perturbative QCD calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. Using the functional integral calculation of the gluon propagator, we rederive the known sub-gauge conditions for the theta-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator's light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a sample calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.
Keywords
Cite
@article{arxiv.1508.07962,
title = {Regularization of the Light-Cone Gauge Gluon Propagator Singularities Using Sub-Gauge Conditions},
author = {Giovanni A. Chirilli and Yuri V. Kovchegov and Douglas E. Wertepny},
journal= {arXiv preprint arXiv:1508.07962},
year = {2016}
}
Comments
19 pages, 2 figures