Integrable structures and duality in highenergy QCD
Abstract
We study the properties of colorsinglet Reggeon compound states in multicolor highenergy QCD in four dimensions. Their spectrum is governed by a completely integrable (1+1)dimensional effective QCD Hamiltonian whose diagonalization within the Bethe Ansatz leads to the Baxter equation for the Heisenberg spin magnet. We show that the nonlinear WKB solution of the Baxter equation gives rise to the same integrable structures as appeared in the SeibergWitten solution for N = 2 SUSY OCD and in the finitegap solutions of the soliton equations. We explain the origin of hyperelliptic Riemann surfaces out of QCD in the Regge limit and discuss the meaning of the Whitham dynamics on the moduli space of quantum numbers of the Reggeon compound states, QCD Pomerons, and Odderons.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)002666
 arXiv:
 arXiv:hepth/9609123
 Bibcode:
 1997NuPhB.498...68K
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 30 pages, LaTeX style, 3 figures embedded with epsf.sty