arXiv:hep-ph/9602412·v1·High Energy Physics — Phenomenology

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

H. Ichie(RCNP, Osaka) · H. Suganuma(RCNP, Osaka) · H. Toki(RCNP, Osaka)

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 $ρ_{c} = 1.3 \sim 1.7 fm^{- 2}$ . 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.

Comments: 17 pages, Revtex, ( 7 figures - available on request from ichie@miho.rcnp.osaka-u.ac.jp )