New Integrable Structures in Large-N QCD

Details New Integrable Structures in Large-N QCD New Integrable Structures in Large-N QCD

2004-04-23

arxiv.org/abs/hep-th/0404187v3

Phys.Rev. D70 (2004) 074024

Physics

High Energy Physics

High Energy Physics - Theory

12 pages; V2: ref. added, V3: refs. added, explicit expression for the spin ladder and other text improvements

Scientific paper

10.1103/PhysRevD.70.074024

We study the anomalous dimensions of single trace operators composed of field strengths $F_{\mu\nu}$ in large-N QCD. The matrix of anomalous dimensions is the Hamiltonian of a compact spin chain with two spin one representations at each vertex corresponding to the selfdual and anti-selfdual components of $F_{\mu\nu}$. Due to the special form of the interaction it is possible to study separately renormalization of purely selfdual components. In this sector the Hamiltonian is integrable and can be exactly solved by Bethe ansatz. Its continuum limit is described by the level two SU(2) WZW model.

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