0-Brane Matrix Dynamics for QCD Purposes: Regge Trajectories

Abstract

The energy spectrum of two 0-branes for fixed angular momentum in 2+1 dimensions is calculated by the Rayleigh-Ritz method. The basis function used for each angular momentum consists of 80 eigenstates of the harmonic oscillator problem on the corresponding space. It is seen that the spectrum exhibits a definite linear Regge trajectory behavior. It is argued how this behavior supports the picture by which the bound-states of quarks and QCDstrings are governed by the quantum mechanics of matrix coordinates.

Smallest matrix black hole model in the classical limit

“…One might also be able to compare these kinds of situations to a direct computation of the wave functions (if the number of dimensions of the quantum mechanical problem is small enough). A simple example for the two matrix model is studied in [18] (see also [19]), wherein a list of energies of states is obtained.…”