Exact solutions for N-magnon scattering

Details Exact solutions for N-magnon scattering Exact solutions for N-magnon scattering

2008-06-16

arxiv.org/abs/0806.2466v1

JHEP0808:095,2008

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 1 figure

Scientific paper

10.1088/1126-6708/2008/08/095

Giant magnon solutions play an important role in various aspects of the AdS/CFT correspondence. We apply the dressing method to construct an explicit formula for scattering states of an arbitrary number N of magnons on R x S^3. The solution can be written in Hirota form and in terms of determinants of N x N matrices. Such a representation may prove useful for the construction of an effective particle Hamiltonian describing magnon dynamics.

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