# New integrable structures in large-N QCD Journal article, 2004

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.

QCD

gauge theory

renormalization

anomalous dimension

bethe ansatz

## Author

#### Gabriele Ferretti

Chalmers, Department of Theoretical Physics and Mechanics, Mathematical Physics

#### Rainer Heise

Chalmers, Department of Theoretical Physics and Mechanics, Mathematical Physics

#### Physical Review D: Particles and fields

0556-2821 (ISSN)

Vol. 70 7 074024-

#### Subject Categories

Physical Sciences

#### DOI

10.1103/PhysRevD.70.074024