One-loop Calculations in Light-cone Gauge 1
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Loop calculations in light-cone gauge must confront many technical complexities. We offer here a compendium of detailed light-cone calculations in Yang-Mills theories (with no matter fields). We consistently regulate the p = 0 singularities through discretization of the p component of momentum. Although it is more cumbersome than the Mandelstam-Leibbrandt prescription, this choice has the virtue of employing only positive norm states, retaining manifest unitarity. Some of the results given here are useful for the forthcoming paper [1], specifically the results for the gluon self energy and one-loop vertex corrections. Supported in part by the Department of Energy under Grant No. DE-FG02-97ER-41029. E-mail address: thorn@phys.ufl.edu
[1] C. Thorn,et al. Scattering of glue by glue on the light-cone worldsheet: Helicity nonconserving amplitudes , 2005, hep-th/0507280.
[2] C. Thorn. Fields in the Language of String: Divergences and Renormalization , 2003, hep-th/0311026.