Four-Particle Solutions to Baxter Equation of SL(2,C) Heisenberg Spin Magnet for Integer Conformal Lorentz Spin and Their Normalizability
Abstract
The four reggeized gluon states for non-vanishing Lorentz conformal spin nh 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,overline h)rightarrow (h,1-overline {h}).
- Publication:
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Acta Physica Polonica B
- Pub Date:
- August 2007
- DOI:
- 10.48550/arXiv.hep-th/0702191
- arXiv:
- arXiv:hep-th/0702191
- Bibcode:
- 2007AcPPB..38.2593K
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 36 pages, 14 figures