A semi-infinite matrix analysis of the BFKL equation

Autor: N. Bethencourt de León, G. Chachamis, A. Romagnoni, A. Sabio Vera
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 80, Iss 6, Pp 1-13 (2020)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-020-8098-0
Popis: 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 $$= - \frac{1}{2}$$ =-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.
Databáze: Directory of Open Access Journals
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