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There is a growing amount of evidence that QCD (and four-dimensional gaugetheories in general) possess a hidden symmetry which does not exhibit itself asa symmetry of classical Lagrangians but is only revealed on the quantum level.In this review we consider the scale dependence of local gauge invariantoperators and high-energy (Regge) behavior of scattering amplitudes to explainthat the effective QCD dynamics in both cases is described by completelyintegrable systems that prove to be related to the celebrated Heisenberg spinchain and its generalizations.

Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and N<4 SYM