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arXiv · 1508.07962

Regularization of the Light-Cone Gauge Gluon Propagator Singularities Using Sub-Gauge Conditions

Giovanni A. Chirilli·Yuri V. Kovchegov·Douglas E. Wertepny
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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.

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Giovanni A. Chirilli, Yuri V. Kovchegov, Douglas E. Wertepny. 2015-08-31. Regularization of the Light-Cone Gauge Gluon Propagator Singularities Using Sub-Gauge Conditions. https://doi.org/10.1007/jhep12(2015)138

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