Quantum Mechanics, Random Matrices and BMN Gauge Theory
Abstract
Description
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.
16 pages, contribution to proceedings of Workshop on Random Geometry, Krakow, May, 2003
16 pages, contribution to proceedings of Workshop on Random Geometry, Krakow, May, 2003