{"@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/1362825895836489600.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.21468/scipostphys.8.1.001"}},{"identifier":{"@type":"URI","@value":"https://scipost.org/10.21468/SciPostPhys.8.1.001/pdf"}}],"dc:title":[{"@value":"Anomalies in the space of coupling constants and their dynamical applications I"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>It is customary to couple a quantum system to external classical\nfields. One application is to couple the global symmetries of the system\n(including the Poincaré symmetry) to background gauge fields (and a\nmetric for the Poincaré symmetry). Failure of gauge invariance of the\npartition function under gauge transformations of these fields reflects\n’t Hooft anomalies. It is also common to view the ordinary (scalar)\ncoupling constants as background fields, i.e. to study the theory when\nthey are spacetime dependent. We will show that the notion of ’t Hooft\nanomalies can be extended naturally to include these scalar background\nfields. Just as ordinary ’t Hooft anomalies allow us to deduce dynamical\nconsequences about the phases of the theory and its defects, the same is\ntrue for these generalized ’t Hooft anomalies. Specifically, since the\ncoupling constants vary, we can learn that certain phase transitions\nmust be present. We will demonstrate these anomalies and their\napplications in simple pedagogical examples in one dimension (quantum\nmechanics) and in some two, three, and four-dimensional quantum field\ntheories. An anomaly is an example of an invertible field theory, which\ncan be described as an object in (generalized) differential cohomology.\nWe give an introduction to this perspective. Also, we use Quillen’s\nsuperconnections to derive the anomaly for a free spinor field with\nvariable mass. In a companion paper we will study four-dimensional gauge\ntheories showing how our view unifies and extends many recently obtained\nresults.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1382825895836489602","@type":"Researcher","foaf:name":[{"@value":"Clay Cordova"}],"jpcoar:affiliationName":[{"@value":"Institute for Advanced Study, Princeton University"}]},{"@id":"https://cir.nii.ac.jp/crid/1382825895836489728","@type":"Researcher","foaf:name":[{"@value":"Daniel Freed"}],"jpcoar:affiliationName":[{"@value":"The University of Texas at Austin"}]},{"@id":"https://cir.nii.ac.jp/crid/1382825895836489601","@type":"Researcher","foaf:name":[{"@value":"Ho Tat Lam"}],"jpcoar:affiliationName":[{"@value":"Princeton University"}]},{"@id":"https://cir.nii.ac.jp/crid/1382825895836489600","@type":"Researcher","foaf:name":[{"@value":"Nathan Seiberg"}],"jpcoar:affiliationName":[{"@value":"Institute for Advanced Study, Princeton University"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"25424653"}],"prism:publicationName":[{"@value":"SciPost Physics"}],"dc:publisher":[{"@value":"Stichting SciPost"}],"prism:publicationDate":"2020-01-06","prism:volume":"8","prism:number":"1","prism:startingPage":"001"},"reviewed":"false","dc:rights":["https://creativecommons.org/licenses/by/4.0"],"url":[{"@id":"https://scipost.org/10.21468/SciPostPhys.8.1.001/pdf"}],"createdAt":"2020-01-06","modifiedAt":"2020-01-06","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1050292706282585600","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Quantum phase transition and resurgence: Lessons from three-dimensional $mathcal{N}=4$ supersymmetric quantum electrodynamics"},{"@value":"Quantum phase transition and resurgence : lessons from three-dimensional N=4 supersymmetric quantum electrodynamics"},{"@value":"Quantum 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