Multi-color QCD at High Energies and Exactly Solvable Lattice Theories

1994/11/16 by L. N. Lipatov, L.N. Lipatov, Lipatov, L. N. +3 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9411305

11 pages, latex, no figures, to appear in Proceedings of the workshop 'Theory of Hadrons and Light-Front QCD', Poland, August 1994, Lipatov's invited talk at this meeting

arxiv created 1994/11/16 · arxiv updated 2009/11/30

Abstract

We examine the generalized leading-logarithmic approximation (LLA) equations for compound states of n-reggeized gluons. It is shown that in multi-color QCD, when N_c → ∞, these equations have a sufficient number of conservation laws to be exactly solvable. Holomorphic factorization of the wave functions is used to reduce the corresponding quantum mechanical problem to the solution of the one-dimensional Heisenberg model with the spins being the generators of the Mobius group of conformal transformations.

Cited by

• Baxter equation for the QCD odderon

Related

• High Energy Asymptotics of Multi--Colour QCD and Exactly Solvable Lattice Models
• Spectrum of the Multi-Reggeon Compound States in Multi-Colour QCD
• Reggeized gluon states in Quantum Chromodynamics
• Solving QCD Using Multi-Regge Theory
• Small x QCD and Multigluon States: a Color Toy Model