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

H. Ichie·H. Suganuma·H. Toki
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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 $ρ_c = 1.3 \sim 1.7 {\rm fm}^{-2}$. On the other hand, the inhomogeneity on the color electric distribution appears when the flux-tube density is smaller than $ρ_c$. 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.

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H. Ichie, H. Suganuma, H. Toki. 1996-02-27. The System of Multi Color-flux-tubes in the Dual Ginzburg-Landau Theory. https://doi.org/10.1103/physrevd.54.3382

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