{"title":"Correlation equalities and some upper bounds for the coupling constant implying area decay of Wilson loop for Z3 lattice gauge theories","authors":"A. Mota, Francisco César Sá Barreto","doi":"10.1088/1402-4896/ad671e","DOIUrl":null,"url":null,"abstract":"\n Correlation identities are obtained for a $Z_3$ lattice gauge theory where the bonds of the plaquettes are decorated by generalized three-state Ising variables. Making use of correlation inequalities, we obtain rigorous bounds to the area decay of the Wilson loop observable in a range of the coupling parameter larger than those obtained from mean field theory considerations.","PeriodicalId":503429,"journal":{"name":"Physica Scripta","volume":"56 7","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica Scripta","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1402-4896/ad671e","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
Correlation identities are obtained for a $Z_3$ lattice gauge theory where the bonds of the plaquettes are decorated by generalized three-state Ising variables. Making use of correlation inequalities, we obtain rigorous bounds to the area decay of the Wilson loop observable in a range of the coupling parameter larger than those obtained from mean field theory considerations.
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