A hidden BFKL / XXX s = -1/2 spin chain mapping

Details A hidden BFKL / XXX s = -1/2 spin chain mapping A hidden BFKL / XXX s = -1/2 spin chain mapping

2011-11-19

arxiv.org/abs/1111.4553v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 figures

Scientific paper

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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