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

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 represent...

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Bibliographic Details
Published in:Physical review letters 2005-04, Vol.94 (15), p.151603.1-151603.4, Article 151603
Main Authors: BELITSKY, A. V, KORCHEMSKY, G. P, MÜLLER, D
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
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Summary: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 ajoint SU(N(c)) matter it survives the conformal symmetry breaking and persists in supersymmetric N=1, N=2, and N=4 Yang-Mills theories.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.94.151603