Derivation of the Gauge Link in Light Cone Gauge

Details Derivation of the Gauge Link in Light Cone Gauge Derivation of the Gauge Link in Light Cone Gauge

2010-05-24

arxiv.org/abs/1005.4305v3

Phys.Rev.D82:014018,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 5 figures, published version

Scientific paper

10.1103/PhysRevD.82.014018

In light cone gauge, a gauge link at light cone infinity is necessary for transverse momentum-dependent parton distribution to restore the gauge invariance in some specific boundary conditions. We derive such transverse gauge link in a more regular and general method. We find the gauge link at light cone infinity naturally arises from the contribution of the pinched poles: one is from the quark propagator and the other is hidden in the gauge vector field in light cone gauge. Actually, in the amplitude level, we have obtained a more general gauge link over the hypersurface at light cone infinity which is beyond the transverse direction. The difference of such gauge link between semi-inclusive deep inelastic scattering and Drell-Yan processes can also be obtained directly and clearly in our derivation.

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