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A semi-infinite matrix analysis of the BFKL equation

de León, N. Bethencourt ; Chachamis, G. ; Romagnoni, A. ; Sabio Vera, A.

The European physical journal. C, Particles and fields, 2020-06, Vol.80 (6), p.1-13, Article 549 [Periódico revisado por pares]

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Título:
A semi-infinite matrix analysis of the BFKL equation
Autor: de León, N. Bethencourt ; Chachamis, G. ; Romagnoni, A. ; Sabio Vera, A.
Assuntos: Astronomy ; Astrophysics and Cosmology ; Eigenvectors ; Elementary Particles ; Gluons ; Hadrons ; Harmonic oscillators ; Heavy Ions ; Matrix methods ; Measurement Science and Instrumentation ; Nuclear Energy ; Nuclear Physics ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Regular Article - Theoretical Physics ; String Theory
É parte de: The European physical journal. C, Particles and fields, 2020-06, Vol.80 (6), p.1-13, Article 549
Descrição: 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 = - 1 2 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.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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