V. G. Bornyakov, A. V. Kovalenko, M. I. Polikarpov, D. A. Sigaev, “Confining string formed by $P$-vortices in the indirect $\mathbf{Z(2)}$ projection of $\mathbf{SU(2)}$ lattice gauge theory”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2002, Volume 76, Issue 11,Pages 771

This article is cited in 1 paper

FIELDS, PARTICLES, AND NUCLEI

Confining string formed by $P$-vortices in the indirect $\mathbf{Z(2)}$ projection of $\mathbf{SU(2)}$ lattice gauge theory

V. G. Bornyakov^abc, A. V. Kovalenko^c, M. I. Polikarpov^c, D. A. Sigaev^c

^a Institute for Theoretical Physics, Kanazawa University
^b Institute for High Energy Physics, Protvino, Moskovskaya obl.
^c Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow

Abstract: We study the distribution of $P$-vortices near the confining string in the indirect $Z(2)$ projection of $SU(2)$ lattice gauge theory. We find that the density of vortices approaches the vacuum value at large distances and is strongly suppressed near the line connecting the test quark-antiquark pair. This implies that the condensate of $P$-vortices is broken inside the confining string. The width of the $P$-vortex density distribution increases with increasing distance between the quark and antiquark. Our best fit indicates the logarithmic dependence of this width on $q\bar{q}$ separation distance.

PACS: 11.15.Ha, 11.25.Sq

Received: 24.10.2002

Language: English