Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-05-16
JHEP 0609:004,2006
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, amstex
Scientific paper
10.1088/1126-6708/2006/09/004
The standard prescription for computing Wilson loops in the AdS/CFT correspondence in the large coupling regime and tree-level involves minimizing the string action. In many cases the action has more than one saddle point as in the simple example studied in this paper, where there are two 1/4 BPS string solutions, one a minimum and the other not. Like in the case of the regular circular loop the perturbative expansion seems to be captured by a free matrix model. This gives enough analytic control to extrapolate from weak to strong coupling and find both saddle points in the asymptotic expansion of the matrix model. The calculation also suggests a new BMN-like limit for nearly BPS Wilson loop operators.
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