ar X iv : h ep - l at / 9 80 20 03 v 1 5 F eb 1 99 8 Center dominance , Casimir scaling , and confinement in lattice gauge theory ∗
نویسنده
چکیده
We present numerical evidence that supports the theory of quark confinement based on center vortex condensation. We introduce a special gauge (“maximal center gauge”) and center projection, suitable for identification of center vortices. Main focus is then put on the connection of vortices in center projection to “confiners” in full, unprojected gauge-field configurations. Topics briefly discussed include: the relation between vortices and monopoles, first results for SU(3), and the problem of Casimir scaling.
منابع مشابه
ar X iv : h ep - l at / 9 90 80 21 v 1 1 8 A ug 1 99 9 1 Casimir scaling or flux counting ? HUB - EP - 99 / 44
Static colour sources offer an ideal environment for investigating the confinement mechanism and testing models of low energy QCD. Despite the availability of a wealth of information on fundamental potentials [1,2], only few lattice investigations of forces between sources in higher representations of the gauge group SU(N) exist. Most of these studies have been done in SU(2) gauge theory in thr...
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Gauge field configurations appropriate for the infrared region of QCD is proposed. Using the usual QCD action, confinement is realized as in the London theory of Meissner effect.
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We introduce quantum gauge fixing (QGF) as a new class of gauge fixings. While the maximal center gauge might not show vortex dominance, the confining properties of the vortices observed in past lattice calculations are argued to have been obtained in a gauge more akin to QGF than to the strict maximal center gauge.
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We study the relation between center vortices and instantons in lattice QCD. One approach to understanding the physical origin of confinement and chiral symmetry breaking is to attempt to capture the essential physics in a much smaller number of degrees of freedom by projecting from a maximal abelian or maximal center gauge. For simplicity, we consider SU (2) and denote a link variable transfor...
متن کاملar X iv : h ep - l at / 9 80 80 46 v 1 2 7 A ug 1 99 8 SU ( 3 ) string tension and the presence of vortices
Lattice simulations are presented showing the expectation of the fluctuation of the Wilson loop solely by elements of the center to fully reproduce the SU(3) heavy quark potential. The results are stable under smoothing, and point to thick vortices as being responsible for the full SU(3) tension. An analytic result on the necessary presence of thick vortices for confinement at weak coupling is ...
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تاریخ انتشار 1998