Joint Institute for Nuclear Research Relativistic ... - Index of - JINR
Joint Institute for Nuclear Research Relativistic ... - Index of - JINR
Joint Institute for Nuclear Research Relativistic ... - Index of - JINR
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where A is surface coefficient, B is volume coefficient, S is area surface, V is volume <strong>of</strong><br />
cube.<br />
For small surface we have good statistic and bad approximation. There<strong>for</strong>e we studied<br />
dependence <strong>of</strong> coefficient A,B from quantity use point in fitting. We discard n first point<br />
<strong>for</strong> small surface and the remaining points are fitted by dependence (10). Figure 3 is<br />
shown that. Small quantity <strong>of</strong> use point makes big dispersion <strong>for</strong> coefficient A,B, thus<br />
we can’t use them in analysis. The most appropriate area <strong>for</strong> conclusion is singled out<br />
by red solid rectangle. It turns, that Witten parameter depend from area surface and<br />
volume in two phases. Consequently it isn’t the order parameter <strong>for</strong> phase transition<br />
confinement-deconfinement.<br />
The result is multilevel algorithm stated on the close surface. This algorithm is tested<br />
on the Witten parameter calculating. Accuracy increased by two orders <strong>of</strong> magnitude<br />
with respect calculating without the use <strong>of</strong> the algorithm. Finally, Witten parameter<br />
isn’t the order parameter <strong>for</strong> phase transition confinement-deconfinement.<br />
References<br />
[1] Chernodub, M., and Polikarpov, M. Abelian projections and monopoles.<br />
arXiv:hep-th/9710205 [hep-th].<br />
[2] ’t Ho<strong>of</strong>t, G. Topology <strong>of</strong> the gauge condition and new confinement phases in<br />
non-abelian gauge theories. <strong>Nuclear</strong> Physics B 190, 3 (1981), 455 – 478.<br />
[3] Gukov, S. Phases <strong>of</strong> gauge theories and surface operators, 11-15 August 2008. The<br />
talk presented at the Prestrings, 11-15 August, 2008, Zürich, Switzerland.<br />
[4] Gukov, S., and Witten, E. Gauge theory, ramification, and the geometric langlands<br />
program. arXiv:hep-th/0612073v2 [hep-th].<br />
[5] Gukov, S., and Witten, E. Rigid surface operators. arXiv:0804.1561 [hep-th].<br />
[6] Lüscher, M., and Weisz, P. Locality and exponential error reduction in numerical<br />
lattice gauge theory. JHEP 0109 (2001), 010.<br />
[7] Parisi, G., Petronzio, R., and Rapuano, F. A measurement <strong>of</strong> the string<br />
tension near the continuum limit. Physics Letters B 128, 6 (1983), 418 – 420.<br />
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