One-loop renormalization of the Yang-Mills theory with Dirac fermions in the light-cone gauge

Abstract

The Yang-Mills theory with Dirac fermions in the light-cone gauge is explicitly renormalized at the oneloop level. Difficulties in the many-loop case are briefly pointed out.

η′g*g*vertex with arbitrary gluon virtualities in the perturbative QCD h

“…The upper limit t 2 is defined by the largest mass scale appearing in the hard scattering amplitude. The functions γ p (α s ) are the anomalous dimensions of the partons inside the η ′ -meson in the axial gauge [40]:…”

Renormalization of Twist Four Operators in QCD

“…For more details on the renormalization of QCD in the light-cone gauge see Ref. [44,45] and references therein.…”

The pole part of the 1PI four-point function in light-cone gauge Yang-Mills theory

“…The separation formula (12) is applied as many times as is necessary to yield integrals containing only a single noncovariant denominator; a shift in the integration variable k, k = q−p, is used to reduce as many integrals as possible to tadpole integrals, which are known to vanish in dimensional regularization.…”

“…In view of the technical idiosyncrasies of the light-cone gauge Feynman integrals [7] generally, and the appearance of UV divergent nonlocal expressions in both the gluon self-energy and the vertex functions, the question was highly non-trivial. During the ensuing years, the renormalization structure of Yang-Mills theory in the light-cone gauge was examined by several researchers, including Bassetto [8,9], Bassetto and his co-workers [10][11][12][13], Lee and Milgram [14,15], Andraši, Leibbrandt and Nyeo [16], Leibbrandt and Nyeo [17,18], and Nyeo [19][20][21].…”