Four-particle solutions to Baxter equation of SL(2,C) Heisenberg spin magnet for integer conformal Lorentz spin and their normalizability

Details Four-particle solutions to Baxter equation of SL(2,C) Heisenberg spin magnet for integer conformal Lorentz spin and their normalizability Four-particle solutions to Baxter equation of SL(2,C) Heisenberg spin magnet for integer conformal Lorentz spin and their normalizability

2007-02-23

arxiv.org/abs/hep-th/0702191v1

ActaPhys.Polon.B38:2593-2630,2007

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 14 figures

Scientific paper

The four reggeized gluon states for non-vanishing Lorentz conformal spin $n_h$ are considered. To calculate their spectrum the Q-Baxter method is used. As a result we describe normalizable trajectory-like states, which form continuous spectrum, as well as discrete point-like solutions, which turn out to be non-normalizable. The point-like solutions exist due to symmetry of the Casimir operator where conformal weights $(h,\bar h) \to (h,1-\bar h)$.

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