{"title":"Abelian and Monopole Dominance in SU(3) Gluodynamics and Gribov Copy Effects","authors":"I. Kudrov, V. Bornyakov","doi":"10.1134/S1547477124701930","DOIUrl":null,"url":null,"abstract":"<p>We continue our study of the Gribov copies effects in the Maximal Abelian gauge in lattice <span>\\(SU(3)\\)</span> gluodynamics. Our computations were completed for four values of the lattice spacing with physical lattice size <span>\\(L \\approx 2\\)</span> fm. It is demonstrated that when one uses the effective simulated annealing algorithm to fix the gauge the obtained Gribov copies produce low abelian string tension which is below 90% of the physical value independent of the lattice spacing. These Gribov copies produce also low value (about 86%) for the monopole string tension. It is further shown that in case of less effective relaxation algorithm it is possible to obtain Gribov copies which produce both Abelian and monopole string tension in good agreement with the physical one.</p>","PeriodicalId":730,"journal":{"name":"Physics of Particles and Nuclei Letters","volume":"22 1","pages":"112 - 116"},"PeriodicalIF":0.4000,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Particles and Nuclei Letters","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1547477124701930","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 0
Abstract
We continue our study of the Gribov copies effects in the Maximal Abelian gauge in lattice \(SU(3)\) gluodynamics. Our computations were completed for four values of the lattice spacing with physical lattice size \(L \approx 2\) fm. It is demonstrated that when one uses the effective simulated annealing algorithm to fix the gauge the obtained Gribov copies produce low abelian string tension which is below 90% of the physical value independent of the lattice spacing. These Gribov copies produce also low value (about 86%) for the monopole string tension. It is further shown that in case of less effective relaxation algorithm it is possible to obtain Gribov copies which produce both Abelian and monopole string tension in good agreement with the physical one.
我们继续研究晶格中最大阿贝尔规范中的Gribov复制效应\(SU(3)\)胶动力学。我们的计算完成了四个值的晶格间距与物理晶格尺寸\(L \approx 2\) fm。结果表明，当使用有效的模拟退火算法固定规范时，所得到的格里波夫副本产生的阿贝尔弦张力低于90% of the physical value independent of the lattice spacing. These Gribov copies produce also low value (about 86%) for the monopole string tension. It is further shown that in case of less effective relaxation algorithm it is possible to obtain Gribov copies which produce both Abelian and monopole string tension in good agreement with the physical one.
期刊介绍：
The journal Physics of Particles and Nuclei Letters, brief name Particles and Nuclei Letters, publishes the articles with results of the original theoretical, experimental, scientific-technical, methodological and applied research. Subject matter of articles covers: theoretical physics, elementary particle physics, relativistic nuclear physics, nuclear physics and related problems in other branches of physics, neutron physics, condensed matter physics, physics and engineering at low temperatures, physics and engineering of accelerators, physical experimental instruments and methods, physical computation experiments, applied research in these branches of physics and radiology, ecology and nuclear medicine.
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