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arXiv · hep-th/0510244

Large N Spectrum of two Matrices in a Harmonic Potential and BMN energies

Joao P. Rodrigues
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Abstract

The large N spectrum of the quantum mechanical hamiltonian of two hermitean matrices in a harmonic potential is studied in a framework where one of the matrices is treated exactly and the other is treated as a creation operator impurity in the background of the first matrix. For the free case, the complete set of invariant eigenstates and corresponding energies are obtained. When g_{YM}^2 interactions are added, it is shown that the full string tension corrected spectrum of BMN loops is obtained.

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Joao P. Rodrigues. 2005-10-28. Large N Spectrum of two Matrices in a Harmonic Potential and BMN energies. https://doi.org/10.1088/1126-6708%2F2005%2F12%2F043

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