Decay widths of Three-Impurity States in the BMN Correspondence

Gutjahr, Petra; Plefka, Jan

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Decay widths of Three-Impurity States in the BMN Correspondence

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Plefka, Jan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Gutjahr, P., & Plefka, J. (2004). Decay widths of Three-Impurity States in the BMN Correspondence. Nuclear Physics B, 692(1-2), 110-134.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4FEA-7

Abstract

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 oneloop 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.