A semi-infinite matrix analysis of the BFKL equation

A new mapping between the BFKL equation and Beisert's representation of the XXX Heisenberg ferromagnet with spin s = - 1/2 is given. The action of the Hamiltonian operator of a spin chain with SL(2) invariance on a symmetric double copy of a harmonic oscillator excited state is shown to be iden...

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Detalles Bibliográficos
Autores principales: Bethencourt de León, N., Chachamis, G., Romagnoni, Alberto, Sabio Vera, Agustin
Lenguaje:eng
Publicado: 2011
Materias:
Particle Physics - Theory
Particle Physics - Phenomenology
hep-th
Acceso en línea:https://dx.doi.org/10.1140/epjc/s10052-020-8098-0
http://cds.cern.ch/record/1400796
Descripción
Sumario:A new mapping between the BFKL equation and Beisert's representation of the XXX Heisenberg ferromagnet with spin s = - 1/2 is given. The action of the Hamiltonian operator of a spin chain with SL(2) invariance on a symmetric double copy of a harmonic oscillator excited state is shown to be identical to the action of the BFKL Hamiltonian on the gluon Green function for the azimuthal-angle averaged forward scattering case. A natural mapping between the gluon Green function, discretized in virtuality space, and the double harmonic oscillator excited state emerges.

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