Scattering of single spikes

Details Scattering of single spikes Scattering of single spikes

2007-10-11

arxiv.org/abs/0710.2300v2

JHEP 0802:009,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX, 2 figures. v2: References added, typos corrected

Scientific paper

10.1088/1126-6708/2008/02/009

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the method allows the construction of solutions with multiple spikes. In particular we construct the solution describing the scattering of two single spikes and compute the scattering phase shift. As a function of the dressing parameters, the result is exactly the same as the one for the giant magnon, up to non-logarithmic terms. This suggests that the single spikes should be described by an integrable spin chain closely related to the one associated to the giant magnons. The field theory interpretation of such spin chain however is still unclear.

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