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Interaction of Reggeized Gluons in the Baxter-Sklyanin Representation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Vega, Héctor J. De Lipatov, L. N. |
| Copyright Year | 2008 |
| 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 (λ− 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 λ = i. The absence of pole singularities in the two complex dimensional −→λ -plane for the bilinear combination of holomorphic and anti-holomorphic Baxter functions leads to the quantization of the integrals of motion. ( ) Work supported partly by INTAS grants 1997-31696, 2000-366, CRDF grant RP1-2108, by NATO and by the Russian Fund of Fundamental Investigations |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0107225v3.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0107225v1.pdf |
| Alternate Webpage(s) | http://cds.cern.ch/record/517945/files/0107225.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0107225v4.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0107225v5.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0107225v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Baxter (robot) Bilinear filtering Heisenberg model (quantum) Intercept Substance Numerous Population Parameter Pseudo brand of pseudoephedrine Spin model Visual Intercept funding grant |
| Content Type | Text |
| Resource Type | Article |
