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.

19 pages, 2 figures

Cited by in corpus (5)

• Sub-eikonal corrections to scattering amplitudes at high energy
• On gauge invariance of transverse momentum dependent distributions at small x
• Drell-Yan hadron tensor: contour gauge and gluon propagator
• Perturbative Corrections to Quark TMDPDFs in the Background-Field Method: Gauge Invariance, Equations of Motion, and Multiple Interactions
• Two-Particle Correlations in Heavy-Light Ion Collisions