High energy QCD as a completely integrable model

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.

Latex style, 16 pages, ITP-SB-94-14

Cited by in corpus (292)

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• Nonforward anomalous dimensions of Wilson operators in N=4 super-Yang-Mills theory
• The topology of the triple Pomeron vertex in N=4 SYM
• Dual conformal invariance in the Regge limit
• On integrable deformations of the spherical top
• Modular Invariance and the Odderon
• R-current six-point correlators in AdS_5 Supergravity
• Symmetries of BFKL Equation
• Open Spin Chains and Complexity in the High Energy Limit
• High Energy Behavior of a Six-Point R-Current Correlator in N=4 Supersymmetric Yang-Mills Theory
• Quantum Strings and Bethe Equations
• Near-integrability and confinement for high-energy hadron-hadron collisions
• Finite Size Scaling, Fisher Zeroes and N=4 Super Yang-Mills
• Universal R operator with Jordanian deformation of conformal symmetry
• Orthogonal and symplectic Yangians - linear and quadratic evaluations
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
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• Exact results for the low energy AdS(4)XCP(3) string theory
• A bosonic multi-state two-well model
• Symmetric reggeon interaction in perturbative QCD
• Scattering Amplitudes in High Energy QCD
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• Conserved currents of the three-reggeon interaction
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• t-channel Approach to Reggeon Interactions in QCD
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• A Quantization of 2+1-Gravity Related to High-Energy Yang-Mills Theory
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• On the conformal spin dependence of the perturbative QCD vacuum singularity
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• Charge and Spin Asymmetries from Pomeron-Odderon Interference