Decay widths of three-impurity states in the BMN correspondence

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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 g2. The corresponding decay widths are computed. © 2004 Elsevier B.V. All rights reserved.




Gutjahr, P., & Plefka, J. (2004). Decay widths of three-impurity states in the BMN correspondence. Nuclear Physics B, 692(1–2), 110–134.

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