Decay widths of three-impurity states in the BMN correspondence

Details Decay widths of three-impurity states in the BMN correspondence Decay widths of three-impurity states in the BMN correspondence

2004-02-26

arxiv.org/abs/hep-th/0402211v2

Nucl.Phys. B692 (2004) 110-134

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 3 figures. v2: references added

Scientific paper

10.1016/j.nuclphysb.2004.05.027

We extend the study of the quantum mechanics of BMN gauge theory to the sector of three scalar impurities at one loop and all genus. The relevant matrix elements of the non-planar one loop dilatation operator are computed in the gauge theory basis. After a similarity transform the BMN gauge theory prediction for the corresponding piece of the plane wave string Hamiltonian is derived and shown to agree with light-cone string field theory. In the three-impurity sector single string states are unstable for the decay into two-string states at leading order in g_2. The corresponding decay widths are computed.

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