The System of Multi Color-flux-tubes in the Dual Ginzburg-Landau Theory

Abstract

We study the system of multi color-flux-tubes in terms of the dual Ginzburg -Landau theory. We consider two ideal cases, where the directions of all the color-flux-tubes are the same in one case and alternative in the other case for neighboring flux-tubes. We formulate the system of multi color-flux -tubes by regarding it as the system of two color-flux-tubes penetrating through a two dimensional sphere surface. We find the multi flux-tube configuration becomes uniform above some critical flux-tube number density ${\rho }_c=1.3\sim 1.7{\mathrm{fm}}^{-2}$. On the other hand, the inhomogeneity on the color electric distribution appears when the flux-tube density is smaller than ${\rho }_c$. We discuss the relation between the inhomogeneity in the color-electric distribution and the flux-tube number density in the multi-flux-tube system created during the QGP formation process in the ultra-relativistic heavy-ion collision.

17 pages, Revtex, ( 7 figures - available on request from [email protected] )

References in corpus (5)

• Equation of State for the SU(3) Gauge Theory
• Color Confinement, Quark Pair Creation and Dynamical Chiral-Symmetry Breaking in the Dual Ginzburg-Landau Theory
• QCD Phase Transition at Finite Temperature in the Dual Ginzburg-Landau Theory
• Deconfinement transition and monopoles in $T\ne 0$ $SU(2)$ QCD
• Deconfining Chiral Transition in QCD on the Lattice

Cited by in corpus (9)

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• Monopoles and Gluon Fields in QCD in the Maximally Abelian Gauge
• Surface Tension in the Mixed Phase of QCD in the Dual Ginzburg-Landau Theory
• Weyl Invariant Formulation of Flux-Tube Solution in the Dual Ginzburg-Landau Theory
• Correlation between Confinement and Chiral-Symmetry Breaking in the Dual Higgs Theory
• Flux tube dynamics in the dual superconductor
• Novel scenario for production of heavy flavored mesons in heavy ion collisions