Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-05-08
JHEP 0606 (2006) 040
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
10.1088/1126-6708/2006/06/040
The one string-loop correction to the energies of two impurity BMN states are computed using IIB light-cone string field theory with an improved 3-string vertex that has been proposed by Dobashi and Yoneya. As in previous published computations, the string vertices are truncated to the 2-impurity channel. The result is compared with the prediction from non-planar corrections in the BMN limit of $\mathcal{N}=4$ supersymmetric Yang-Mills theory. It is found to agree at leading order -- one-loop in Yang-Mills theory -- and is close but not quite in agreement at order two Yang-Mills loops. Furthermore, in addition to the leading 1/2 power in the t'Hooft coupling, which is generic in string field theory, and which we have previously argued cancels, we find that the 3/2 and 5/2 powers are also miraculously absent.
Grignani Gianluca
Orselli Marta
Ramadanovic Bojan
Semenoff Gordon W.
Young Donovan
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