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The basic idea is to separate the site tensor into multiple layers associated with each flavor and to introduce the gauge field in each layer as replicas, which are all identified later. This formulation, after introducing an appropriate compression scheme in the network, enables us to reduce the size of the initial tensor with high efficiency compared with a naive implementation. The usefulness of this formulation is demonstrated by investigating the chiral phase transition and the Silver Blaze phenomenon in 2D Abelian gauge theories with <jats:italic>N</jats:italic><jats:sub>f</jats:sub> flavors of Wilson fermions up to <jats:italic>N</jats:italic><jats:sub>f</jats:sub> = 4.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380021390739435393","@type":"Researcher","foaf:name":[{"@value":"Atis Yosprakob"}]},{"@id":"https://cir.nii.ac.jp/crid/1380021390739435403","@type":"Researcher","foaf:name":[{"@value":"Jun Nishimura"}]},{"@id":"https://cir.nii.ac.jp/crid/1380021390739435396","@type":"Researcher","foaf:name":[{"@value":"Kouichi Okunishi"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"10298479"}],"prism:publicationName":[{"@value":"Journal of High Energy Physics"}],"dc:publisher":[{"@value":"Springer Science and Business Media LLC"}],"prism:publicationDate":"2023-11-27","prism:volume":"2023","prism:number":"11","prism:startingPage":"187"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","dc:rights":["https://creativecommons.org/licenses/by/4.0","https://creativecommons.org/licenses/by/4.0"],"url":[{"@id":"https://link.springer.com/content/pdf/10.1007/JHEP11(2023)187.pdf"},{"@id":"https://link.springer.com/article/10.1007/JHEP11(2023)187/fulltext.html"}],"createdAt":"2023-11-28","modifiedAt":"2024-04-19","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=High%20Energy%20Physics%20-%20Theory","dc:title":"High Energy Physics - Theory"},{"@id":"https://cir.nii.ac.jp/all?q=Lattice%20Quantum%20Field%20Theory","dc:title":"Lattice Quantum Field Theory"},{"@id":"https://cir.nii.ac.jp/all?q=High%20Energy%20Physics%20-%20Lattice","dc:title":"High Energy Physics - Lattice"},{"@id":"https://cir.nii.ac.jp/all?q=Statistical%20Mechanics%20(cond-mat.stat-mech)","dc:title":"Statistical Mechanics (cond-mat.stat-mech)"},{"@id":"https://cir.nii.ac.jp/all?q=High%20Energy%20Physics%20-%20Theory%20(hep-th)","dc:title":"High Energy Physics - Theory (hep-th)"},{"@id":"https://cir.nii.ac.jp/all?q=Algorithms%20and%20Theoretical%20Developments","dc:title":"Algorithms and Theoretical Developments"},{"@id":"https://cir.nii.ac.jp/all?q=Field%20Theories%20in%20Lower%20Dimensions","dc:title":"Field Theories in Lower Dimensions"},{"@id":"https://cir.nii.ac.jp/all?q=Nuclear%20and%20particle%20physics.%20Atomic%20energy.%20Radioactivity","dc:title":"Nuclear and particle physics. Atomic energy. Radioactivity"},{"@id":"https://cir.nii.ac.jp/all?q=High%20Energy%20Physics%20-%20Lattice%20(hep-lat)","dc:title":"High Energy Physics - Lattice (hep-lat)"},{"@id":"https://cir.nii.ac.jp/all?q=FOS:%20Physical%20sciences","dc:title":"FOS: Physical sciences"},{"@id":"https://cir.nii.ac.jp/all?q=QC770-798","dc:title":"QC770-798"},{"@id":"https://cir.nii.ac.jp/all?q=Condensed%20Matter%20-%20Statistical%20Mechanics","dc:title":"Condensed Matter - Statistical Mechanics"},{"@id":"https://cir.nii.ac.jp/all?q=Finite%20Temperature%20or%20Finite%20Density","dc:title":"Finite Temperature or Finite Density"}],"project":[{"@id":"https://cir.nii.ac.jp/crid/1040289864809882112","@type":"Project","projectIdentifier":[{"@type":"KAKEN","@value":"21H05191"},{"@type":"JGN","@value":"JP21H05191"},{"@type":"URI","@value":"https://kaken.nii.ac.jp/grant/KAKENHI-PLANNED-21H05191/"}],"notation":[{"@language":"ja","@value":"量子情報を用いた量子多体系の制御とテンソルネットワーク"},{"@language":"en","@value":"Quantum many-body systems and 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