Regge Trajectories by 0-Brane Matrix Dynamics

TL;DR

This paper calculates the energy spectrum of two 0-branes in 2+1 dimensions, revealing linear Regge trajectories that support the idea that quark bound-states and QCD-strings can be described by matrix quantum mechanics.

Contribution

It demonstrates how matrix dynamics of 0-branes can produce Regge trajectories, linking string-like behavior to quantum matrix models.

Findings

Spectrum shows linear Regge trajectories

Supports matrix quantum mechanics as a model for QCD-string bound states

Uses harmonic oscillator basis with 80 eigenstates

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 QCD-strings are governed by the quantum mechanics of matrix coordinates.