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

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

2005-10-28

arxiv.org/abs/hep-th/0510244v1

JHEP0512:043,2005

Physics

High Energy Physics

High Energy Physics - Theory

26 pages

Scientific paper

10.1088/1126-6708/2005/12/043

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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