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Interaction of Reggeized Gluons in the Baxter-Sklyanin Representation | | H. J. de Vega
; L. N. Lipatov
; | | Date: |
20 Jul 2001 | | Journal: | Phys.Rev. D64 (2001) 114019 | | Subject: | High Energy Physics - Phenomenology; Exactly Solvable and Integrable Systems | hep-ph hep-th nlin.SI | | Abstract: | We investigate the Baxter equation for the Heisenberg spin model corresponding to a generalized BFKL equation describing composite states of n Reggeized gluons in the multi-color limit of QCD. The Sklyanin approach is used to find an unitary transformation from the impact parameter representation to the representation in which the wave function factorizes as a product of Baxter functions and a pseudo-vacuum state. We show that the solution of the Baxter equation is a meromorphic function with poles (lambda - i r)^{-(n-1)} (r= 0, 1,...) and that the intercept for the composite Reggeon states is expressed through the behavior of the Baxter function around the pole at lambda = i . The absence of pole singularities in the two complex dimensional lambda-plane for the bilinear combination of holomorphic and anti-holomorphic Baxter functions leads to the quantization of the integrals of motion because the holomorphic energy should be the same for all independent Baxter functions. | | Source: | arXiv, hep-ph/0107225 | | Services: | Forum | Review | PDF | Favorites | |
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