1993
DOI: 10.1103/physrevd.47.5104
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SU(2) flux distributions on finite lattices

Abstract: We studied SU (2) flux distributions on four dimensional Euclidean lattices with one dimension very large. By choosing the time direction appropriately we can study physics in two cases: one is finite volume in the zero temperature limit, another is finite temperature in the intermediate to large volume limit.We found that for cases of β > β c there is no intrinsic string formation. Our lattices with β > β c belong to the intermediate volume region, and the string tension in this region is due to finite volume… Show more

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Cited by 19 publications
(15 citation statements)
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“…The squeezed flux-tube, by virtue of the surrounding superconductiong medium [2,3,13], is conjectured to vibrate, after roughening, like a massless string. The profile of the vibrating flux tube can be unraveled in numerical lattice simulations by correlating the field strength of the QCD vacuum to the constructed quark states [14][15][16][17]. The large distance properties of the energy distribution in the meson have been a subject of many lattice simulations targeting the properties of the flux tubes at both zero and finite temperatures.…”
Section: Introductionmentioning
confidence: 99%
“…The squeezed flux-tube, by virtue of the surrounding superconductiong medium [2,3,13], is conjectured to vibrate, after roughening, like a massless string. The profile of the vibrating flux tube can be unraveled in numerical lattice simulations by correlating the field strength of the QCD vacuum to the constructed quark states [14][15][16][17]. The large distance properties of the energy distribution in the meson have been a subject of many lattice simulations targeting the properties of the flux tubes at both zero and finite temperatures.…”
Section: Introductionmentioning
confidence: 99%
“…Early lattice gauge theory attempts to compute the colour field distribution, without recourse to modelling, were necessarily limited by the available compute power and lattice methods of the period. They rendered qualitative rather than quantitative results, with lattice resolutions, a, and quark-antiquark separations, r, restrained to a > .15 fm and r = aR < 1 fm, respectively [2,3,4,5].…”
Section: Introductionmentioning
confidence: 99%
“…The qualitative description of these density plots suggests a two-dimensional Gaussian-like behavior; however, as we will see in the next section, careful measurements of the widths at each perpendicular plane to the q " q line yield different widths for large distances. The behavior of the flux distribution around the outer edges of the density profile does depend on finite volume [36]. As a by-product of performing the simulations on large lattice sizes to gain high statistics in a gaugeindependent manner, the two lattices employed in these investigations are of a typical spatial size of 3:6 3 fm 3 which does minimize the volume effect.…”
Section: Fig 5 (Color Online) the Flux-distribution "mentioning
confidence: 99%