Spin Structure Function g2(x,Q2) and Twist-3 Operators in large-NC QCD
Abstract
It is shown in the framework of the operator product expansion and the renormalization group method that the twist-3 part of flavour nonsinglet spin structure function g2(x,Q2) obeys a simple Dokshitzer-Gribov- Lipatov-Altarelli-Parisi (DGLAP) equation in the large NC limit even in the case of massive quarks (NC is the number of colours). There are four different types of twist-3 operators which contribute to g2, including quark-mass-dependent operators and the ones proportional to the equation of motion. They are not all independent but are constrained by one relation. A new choice of the independent operator bases leads to a simple form of the evolution equation for g2 at large NC.
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