{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360568465698457728.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1007/jhep07(2019)018"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/content/pdf/10.1007/JHEP07(2019)018.pdf"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/article/10.1007/JHEP07(2019)018/fulltext.html"}},{"identifier":{"@type":"DOI","@value":"10.48550/arxiv.1905.05781"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"Fractional θ angle, ’t Hooft anomaly, and quantum instantons in charge-q multi-flavor Schwinger model"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>A<jats:sc>bstract</jats:sc>\n          </jats:title>\n          <jats:p>This work examines non-perturbative dynamics of a 2-dimensional QFT by using discrete ’t Hooft anomaly, semi-classics with circle compactification and bosonization. We focus on charge-<jats:italic>q N</jats:italic>-flavor Schwinger model, and also Wess-Zumino-Witten model. We first apply the recent developments of discrete ’t Hooft anomaly matching to theories on ℝ<jats:sup>2</jats:sup> and its compactification to ℝ× <jats:italic>S</jats:italic>\n            <jats:sub>\n              <jats:italic>L</jats:italic>\n            </jats:sub>\n            <jats:sup>1</jats:sup>\n              . We then compare the ’t Hooft anomaly with dynamics of the models by explicitly constructing eigenstates and calculating physical quantities on the cylinder spacetime with periodic and flavor-twisted boundary conditions. We find different boundary conditions realize different anomalies. Especially under the twisted boundary conditions, there are <jats:italic>Nq</jats:italic> vacua associated with discrete chiral symmetry breaking. Chiral condensates for this case have fractional <jats:italic>θ</jats:italic> dependence e<jats:sup>i<jats:italic>θ</jats:italic>/<jats:italic>Nq</jats:italic>\n            </jats:sup>, which provides the <jats:italic>Nq</jats:italic>-branch structure with soft fermion mass. We show that these behaviors at a small circumference cannot be explained by usual instantons but should be understood by “quantum” instantons, which saturate the BPS bound between classical action and quantum-induced effective potential. The effects of the quantum-instantons match the exact results obtained via bosonization within the region of applicability of semi-classics. We also argue that large-<jats:italic>N</jats:italic> limit of the Schwinger model with twisted boundary conditions satisfy volume independence.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1420282801190981248","@type":"Researcher","personIdentifier":[{"@type":"KAKEN_RESEARCHERS","@value":"80715152"},{"@type":"NRID","@value":"1000080715152"},{"@type":"CINII_AUTHOR_ID","@value":"DB00082986"},{"@type":"URI","@value":"https://ci.nii.ac.jp/author/DB00082986#entity"},{"@type":"URI","@value":"https://viaf.org/viaf/NII%7CDB00082986"},{"@type":"NRID","@value":"9000006974033"},{"@type":"NRID","@value":"9000410935949"},{"@type":"NRID","@value":"9000403928659"},{"@type":"NRID","@value":"9000364897202"},{"@type":"NRID","@value":"9000312260500"},{"@type":"NRID","@value":"9000367417296"},{"@type":"NRID","@value":"9000367417285"},{"@type":"NRID","@value":"9000410935944"},{"@type":"NRID","@value":"9000367417279"},{"@type":"NRID","@value":"9000402473509"},{"@type":"NRID","@value":"9000405842461"},{"@type":"NRID","@value":"9000403928660"},{"@type":"NRID","@value":"9000351488951"},{"@type":"NRID","@value":"9000413488037"},{"@type":"NRID","@value":"9000367417294"},{"@type":"NRID","@value":"9000403928654"},{"@type":"NRID","@value":"9000410935950"},{"@type":"NRID","@value":"9000402479052"},{"@type":"NRID","@value":"9000399523402"},{"@type":"NRID","@value":"9000367417291"},{"@type":"RESEARCHMAP","@value":"https://researchmap.jp/misumi"}],"foaf:name":[{"@value":"Tatsuhiro Misumi"}]},{"@id":"https://cir.nii.ac.jp/crid/1380568465698457602","@type":"Researcher","foaf:name":[{"@value":"Yuya Tanizaki"}]},{"@id":"https://cir.nii.ac.jp/crid/1380568465698458244","@type":"Researcher","foaf:name":[{"@value":"Mithat Ünsal"}]}],"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":"2019-07","prism:volume":"2019","prism:number":"7","prism:startingPage":"018"},"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/JHEP07(2019)018.pdf"},{"@id":"https://link.springer.com/article/10.1007/JHEP07(2019)018/fulltext.html"}],"createdAt":"2019-07-04","modifiedAt":"2021-09-03","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=Strongly%20Correlated%20Electrons%20(cond-mat.str-el)","dc:title":"Strongly Correlated Electrons (cond-mat.str-el)"},{"@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=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=Spontaneous%20Symmetry%20Breaking","dc:title":"Spontaneous Symmetry Breaking"},{"@id":"https://cir.nii.ac.jp/all?q=Condensed%20Matter%20-%20Strongly%20Correlated%20Electrons","dc:title":"Condensed Matter - Strongly Correlated Electrons"},{"@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=Nuclear%20and%20particle%20physics.%20Atomic%20energy.%20Radioactivity","dc:title":"Nuclear and particle physics. 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