Strings in Baryons and Matrix Coordinates

Abstract

It is argued that the internal dynamics of a baryon, as a bound state of QCD-strings and quarks, may be captured by a theory of matrix coordinates.

Regge Trajectories by 0-Brane Matrix Dynamics

“…It is easy to check that θ(t) ≡ 0, by which the potential is set to zero, the equations for (r, φ) would come to the form of a free particle in polar coordinate. As an Figure 1: The plots of a numerical solution of (13). The outer curve is representing the radial coordinate as a function of the polar angle φ.…”

“…By the picture mentioned above, it sounds reasonable that the dynamics of 0branes is used to model the bound-states of quarks and QCD-strings. This picture is the main theme of a series of works, and it is shown that the dynamics of 0branes can reproduce some known features and expectations in hadron physics, including the potentials between static and fast decaying quarks, and also the Regge behavior in the scattering amplitudes [12,13]. The symmetry aspects of the picture were studied in [14].…”

“…Based on the above observation about the spectrum, this may be suggested that, the quantum mechanics of matrix coordinates can reconcile string picture and QCD in 3+1 dimensions. In particular, according to this picture the boundstates of quarks and QCD-strings are governed by the quantum mechanics of matrix coordinates [12][13][14].…”

0-Brane Matrix Dynamics for QCD Purposes: Regge Trajectories

“…This picture is the main theme of a series of works, and it is shown that the dynamics of 0-branes can reproduce some known features and expectations in hadron physics, including the potentials between static and fast decaying quarks, and also the Regge behavior in the scattering amplitudes [12,13]. The symmetry aspects of the picture were studied in [14].…”

“…In particular, according to this picture the boundstates of quarks and QCD-strings are governed by the quantum mechanics of matrix coordinates [12][13][14].…”