Fermions in Yang-Mills gauge theories: invariance, covariance and topology

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dc.contributor.authorLiang, Yigaoen
dc.contributor.committeechairChang, Lay Namen
dc.contributor.committeememberMarshak, Robert E.en
dc.contributor.committeememberMo, Luke W.en
dc.contributor.committeememberRoper, L. Daviden
dc.contributor.committeememberWilliams, Clayton D.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2017-05-24T18:19:35Zen
dc.date.available2017-05-24T18:19:35Zen
dc.date.issued1987en
dc.description.abstractI present a study on the invariance and covariance properties of the Dirac operator describing fermions in Yang-Mills fields. This includes the study of anomalies of the gauge currents. We are particularly interested in the geometric and topological features in the problem. The complicated topological structures and properties present in these theories are made clear by elementary calculations in several simple models. We show explicitly how non-trivial phase and sign ambiguities arise to give the so-called anomalies. The Atiyah-Singer index theorem is seen to be a very powerful tool to calculate the topological invariants that characterize the anomalies. The index theorem also gives topological invariants describing the failure of covariance of the fermion propagator.en
dc.description.degreePh. D.en
dc.format.extentvi, 83 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/77824en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 17151812en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1987.L595en
dc.subject.lcshGauge fields (Physics)en
dc.subject.lcshLeptons (Nuclear physics)en
dc.subject.lcshFermionsen
dc.subject.lcshQuarksen
dc.titleFermions in Yang-Mills gauge theories: invariance, covariance and topologyen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplinePhysicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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