A semi-infinite matrix analysis of the BFKL equation
Entity
UAM. Departamento de Física TeóricaPublisher
SpringerOpenDate
2020-06-17Citation
10.1140/epjc/s10052-020-8098-0
European Physical Journal C 80.6 (2020): 549
ISSN
1434-6044 (print); 1434-6052 (online)DOI
10.1140/epjc/s10052-020-8098-0Project
Gobierno de España. SEV-2016-0597; Gobierno de España. FPA2015-65480-P; Gobierno de España. FPA2016-78022-P; info:eu-repo/grantAgreement/EC/H2020/824093/EU//STRONG-2020Editor's Version
https://doi.org/10.1140/epjc/s10052-020-8098-0Subjects
Gluons; Collision; Vector Mesons; FísicaRights
© 2020, The Author(s)Abstract
The forward BFKL equation is discretised in virtuality space and it is shown that the diffusion into infrared and ultraviolet momenta can be understood in terms of a semi-infinite matrix. The square truncation of this matrix can be exponentiated leading to asymptotic eigenstates sharing many features with the BFKL gluon Green’s function in the limit of large matrix size. This truncation is closely related to a representation of the XXX Heisenberg spin =-12 chain with SL(2) invariance where the Hamiltonian acts on a symmetric double copy of the harmonic oscillator. A simple modification of the BFKL matrix suppressing the infrared modes generates evolution more compatible with the Froissart bound
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Google Scholar:Bethencourt de León, Nauzet
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Chachamis, G.
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Romagnoni, Romagnoni, A.
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Sabio Vera, Agustín
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