Yang-Mills Theories In Light-cone Gauge Research Articles

Renormalization in light-cone gauge: how to do it in a consistent way

We summarize several basic features concerning canonical equal time quantization and renormalization of Yang-Mills theories in light-cone gauge. We describe a “two component” formulation which is reminiscent of the light-cone hamiltonian perturbation rules. Finally we review the derivation of the one-loop Altarelli-Parisi densities, using the correct causal prescription on the “spurious” pole.

Renormalization of Yang-Mills theories in light-cone gauge: Recent results.

Recent results concerning the light-cone gauge are reported. In particular we revisit the nonsinglet Altarelli-Parisi kernel in the leading-log approximation. Ultraviolet and infrared singularities are neatly disentangled thanks to the Mandelstam-Leibbrandt prescription in the vector propagator. A new interpretation emerges of real and virtual diagram contributions. Then we exhibit the one-loop renormalization of the composite operator ${A}_{\ensuremath{\mu}}^{a}(0){A}_{\ensuremath{\nu}}^{b}(0)$ as a first step towards full control of gauge-dependent insertions.