Reciprocity of gauge operators in N=4SYM

Beccaria, M. & Forini, V. (2008). Reciprocity of gauge operators in N=4SYM. Journal of High Energy Physics, 2008, 077.. doi: 10.1088/1126-6708/2008/06/077

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Abstract

A recently discovered generalized Gribov-Lipatov reciprocity holds for the anomalous dimensions of various twist operators in Script N = 4 SYM. Here, we consider a class of scaling operators that reduce at one-loop to twist-3 maximal helicity gluonic operators. We extract from the asymptotic long-range Bethe Ansatz a closed expression for the spin dependent anomalous dimension at four loop order and provide a complete proof of reciprocity. We comment about the interplay with possible, yet unknown, wrapping corrections.

Item Type: Article
Uncontrolled Keywords: integrable quantum field theory, integrable spin chains (vertex models), quantum integrability (Bethe ansatz).
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/19734

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