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High energy QCD as a completely integrable model

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arxiv hep-th/9404173 v1 pith:PGLYARLI submitted 1994-04-28 hep-th hep-ph

classification hep-thhep-ph
keywords modelcompletelyenergyhighintegrablescatteringamplitudeansatz
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We show that the one-dimensional lattice model proposed by Lipatov to describe the high energy scattering of hadrons in multicolor QCD is completely integrable. We identify this model as the XXX Heisenberg chain of noncompact spin $s=0$ and find the conservation laws of the model. A generalized Bethe ansatz is developed for the diagonalization of the hamiltonian and for the calculation of hadron-hadron scattering amplitude.

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Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 421 citations worldwide. Full citation record

  1. The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills: closed form, coefficient structure, and arithmetic

    hep-th 2026-07 conditional novelty 8.0 of 10

    The NNLO BFKL eigenvalue of planar N=4 SYM is given in closed form at every odd conformal spin via exact Mellin extraction from the Caron-Huot–Herranen integrand, matching quantum spectral curve intercepts through n=91.

  2. The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills

    hep-th 2026-07 conditional novelty 7.0 of 10

    The NNLO BFKL eigenvalue of planar N=4 SYM is now in closed form at every odd spin n, with ν=0 intercepts matching Quantum Spectral Curve data through n=91.

  3. Yangian Symmetry Escapes from the Fishnet

    hep-th 2025-11 unverdicted novelty 7.0 of 10

    Yangian symmetry is realized classically in fishnet models under restricted parameter choices but does not extend to generic quantum correlators, indicating an obstacle from non-zero dual Coxeter number.

  4. Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms

    hep-th 2025-11 unverdicted novelty 7.0 of 10

    Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.

  5. The boundary-driven multispecies harmonic process

    math-ph 2026-07 conditional novelty 6.0 of 10

    A multispecies harmonic process with boundary reservoirs is introduced and proven Yang-Baxter integrable via a factorized R-matrix and open-chain K-matrices, with three dual processes.

  6. The Maximal Entanglement Limit in Statistical and High Energy Physics

    quant-ph 2026-01 unverdicted novelty 6.0 of 10

    Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.

  7. Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz

    hep-th 2025-07 conditional novelty 6.0 of 10

    From the Quantum Spectral Curve, the authors derive the Asymptotic Baxter-Bethe Ansatz, which determines the asymptotic BFKL spectrum of Regge trajectories in N=4 SYM, reproduces known weak-coupling results, and suppo...

  8. Small $x$ behavior in QCD from maximal entanglement and conformal invariance

    hep-ph 2025-08 conditional novelty 4.0 of 10

    Bethe Ansatz finite-size corrections to Lipatov's spin chain yield c=1, which fixes the small-x gluon scaling to x^{-1/3}.

  9. QCD-Gravity double copy in Regge asymptotics: from $2\rightarrow n$ amplitudes to radiation in shockwave collisions

    hep-th 2025-07 accept novelty 3.0 of 10

    A lecture-note synthesis showing that the same Lipatov vertices and reggeized propagators govern multi-particle production in QCD and gravity, with double-copy, Weinberg soft, and shockwave limits all connected in one...

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