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

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arxiv 1012.4000 v2 pith:3SI3APT6 submitted 2010-12-17 hep-th

classification hep-th
keywords gaugeintegrabilityreviewsymmetryamountamplitudesbehaviorcases
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Long-range to the Rescue of Yang-Baxter II

    hep-th 2025-07 conditional novelty 6.0 of 10

    A long-range Bethe ansatz produces four-magnon eigenstates, recursively built from three-magnon data, for the one-loop spin chain of a marginally deformed Z2 orbifold of N=4 SYM.

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