Simplification of Higher-Twist Evolution in the Large Nc Limit: Why and Why Not

Abstract

Working in the light-cone gauge, we find a simple procedure to calculate the autonomous one-loop Q2 evolution of the twist-three part of the nucleon gT(x, Q2) structure function in the large-Nc limit. Our approach allows us to investigate the possibility of a similar large-Nc simplification for other higher-twist evolutions. In particular, we show that it does not occur for the twist-four part of the f4(x, Q2), g3(x, Q2) and h3(x, Q2) distributions. We also argue that the simplification of the twist-three evolution does not persist beyond one loop.

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