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

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abstract

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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hep-th 1

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2025 1

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CONDITIONAL 1

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Long-range to the Rescue of Yang-Baxter II

hep-th · 2025-07-11 · conditional · novelty 6.0

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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  • Long-range to the Rescue of Yang-Baxter II hep-th · 2025-07-11 · conditional · none · ref 4 · internal anchor

    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.