Inter-Meson Potentials in Dual Ginzburg-Landau Theory

Abstract

We calculate inter-meson potentials numerically by solving classical equations of motion derived from Dual Ginzburg-Landau (DGL) Theory. Inter-meson potentials in DGL theory are shown to be similar to those of the stringflip model and well reproduce behaviors of the short-range interaction at the classical level. We also compare our results with those from lattice QCD Monte carlo calculations. †

Interactions of multiquark states in the chromodielectric model

“…This behavior is almost not dependent on the string length R but also not on the relative orientation. In the dual GinzburgLandau model a Yukawa-type potential was found with a screening mass m s = 1430 MeV [61], which is consistent with our results. Following our above interpretation of m g , one might compare these numbers to the glueball mass which has been calculated on the lattice between 1500 MeV ≤ m g ≤ 1700 MeV [66,67].…”

“…This latter configuration is not possible in SU (2), where the two members of the fundamental doublet are simultaneously the anti-particles to each other. In this work we concentrate on the former color configuration to compare our results to those obtained in SU(2) lattice calculations [33,59,60] and in the model of the dual color superconductor [61]. q q q q A q q q q B q q q q B' R D In coordinate space the orientations of the flux tubes depend on the actual distributions of colors and anticolors.…”

“…We note, that this reorientation of the flux tubes is found just by solving the equations of motion (3). No external input such as the orientation of a Dirac-string as in the dual color superconductor model [61] is needed. The CDM therefore incorporates the feature of string flip as used in the string-flip model [62][63][64][65].…”