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Reciprocity of gauge operators in N=4SYM

Beccaria, M. and Forini, V. ORCID: 0000-0001-9726-1423 (2008). Reciprocity of gauge operators in N=4SYM. Journal of High Energy Physics, 2008, 077.. doi: 10.1088/1126-6708/2008/06/077

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.

Publication Type: Article
Publisher Keywords: integrable quantum field theory, integrable spin chains (vertex models), quantum integrability (Bethe ansatz).
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/19734
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