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arXiv:hep-th/0412054·v2·High Energy Physics — Theory

Integrability in Yang-Mills theory on the light cone beyond leading order

A.V. Belitsky🇺🇸 · G.P. Korchemsky🇫🇷 · D. Müller🇩🇪

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Abstract

The one-loop dilatation operator in Yang-Mills theory possesses a hidden integrability symmetry in the sector of maximal helicity Wilson operators. We calculate two-loop corrections to the dilatation operator and demonstrate that while integrability is broken for matter in the fundamental representation of the SU(3) gauge group, for the adjoint SU(N_c) matter it survives the conformal symmetry breaking and persists in supersymmetric N=1, N=2 and N=4 Yang-Mills theories.

Comments: 4 pages, 2 figures

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