Quantum Mechanics, Random Matrices and BMN Gauge Theory

Details Quantum Mechanics, Random Matrices and BMN Gauge Theory Quantum Mechanics, Random Matrices and BMN Gauge Theory

2003-07-21

arxiv.org/abs/hep-th/0307204v1

Acta Phys.Polon. B34 (2003) 4949-4964

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, contribution to proceedings of Workshop on Random Geometry, Krakow, May, 2003

Scientific paper

We review how the identification of gauge theory operators representing string states in the pp-wave/BMN correspondence and their associated anomalous dimension reduces to the determination of the eigenvectors and the eigenvalues of a simple quantum mechanical Hamiltonian and analyze the properties of this Hamiltonian. Furthermore, we discuss the role of random matrices as a tool for performing explicit evaluation of correlation functions.

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