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

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

1994-11-16

arxiv.org/abs/hep-ph/9411305v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, latex, no figures, to appear in Proceedings of the workshop 'Theory of Hadrons and Light-Front QCD', Poland, August

Scientific paper

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 $N_c \rightarrow \infty$, 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 M$\ddot{o}$bius group of conformal transformations.

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