Light-cone gauge in Yang-Mills theory

Abstract

A prescription for massless Feynman integrals in the light-cone gauge ${n}_{\ensuremath{\mu}}{A}_{\ensuremath{\mu}}^{a}=0$, ${n}^{2}=0$, is suggested which leads to well-defined and exact, but Lorentz-noninvariant, integrals. As a result the Yang-Mills self-energy is likewise Lorentz noninvariant, but remains transverse in agreement with the Ward and Becchi-Rouet-Stora (BRS) identities. It is also shown that the assumption of Lorentz invariance of the integrals, coupled with the validity of the Ward (BRS) identity, leads to a nonlocal Yang-Mills self-energy.