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

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

2010-12-17

arxiv.org/abs/1012.4000v2

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated

Scientific paper

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

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