Double-helix Wilson loops: case of two angular momenta

Details Double-helix Wilson loops: case of two angular momenta Double-helix Wilson loops: case of two angular momenta

2009-08-21

arxiv.org/abs/0908.3020v2

JHEP 0912:014,2009

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 2 figures, LaTeX. v2: Small corrections, reference added

Scientific paper

10.1088/1126-6708/2009/12/014

Recently, Wilson loops with the shape of a double helix have played an important role in studying large spin operators in gauge theories. They correspond to a quark and an anti-quark moving in circles on an S3 (and therefore each of them describes a helix in RxS3). In this paper we consider the case where the particles have two angular momenta on the S3. The string solution corresponding to such Wilson loop can be found using the relation to the Neumann-Rosochatius system allowing the computation of the energy and angular momenta of the configuration. The particular case of only one angular momentum is also considered. It can be thought as an analytic continuation of the rotating strings which are dual to operators in the SL(2) sector of N=4 SYM.

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