Consistent Perturbative Light Front Formulation of Yang-Mills Theories

preprint1999arXivOpen access

Abstract

It is shown how to obtain the consistent light front form quantization of a non-Abelian pure Yang-Mills theory (gluondynamics) in the framework of the standard perturbative approach. After a short review of the previous attempts in the light cone gauge A−=0A_-=0, it is explained how the difficulties can be overcome after turning to the anti light cone gauge A+=0A_+=0. In particular, the generating functional of the renormalized Green's functions turns out to be the same as in the conventional instant form approach, leading to the Mandelstam-Leibbrandt prescription for the free gluon propagator.

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