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dc.contributor.advisorFreed, Daniel S.en
dc.creatorJenquin, Jerome Anthony, 1975-en
dc.date.accessioned2011-08-02T20:00:32Zen
dc.date.available2011-08-02T20:00:32Zen
dc.date.issued2004-05en
dc.identifier.urihttp://hdl.handle.net/2152/12776en
dc.descriptiontexten
dc.description.abstractIn the first half we construct a 2+1 dimensional classical gauge theory on manifolds with spin structure whose action is a refinement of the Atiyah-PatodiSinger η -invariant for twisted Dirac operators. We investigate the properties of the Lagrangian field theory for closed spin 3-manifolds and compact spin 3-manifolds with boundary where the action is properly thought of as a unitary element of a Pfaffian line of twisted Dirac operators. We then investigate the properties of the Hamiltonian field theory over 3-manifolds of the form R × Y , where Y is a closed spin 2-manifold. From the action we derive a unitary line bundle with connection over the moduli stack of flat gauge fields on Y . In the second half we conjecture the quantization of our classical gauge theory is a topological quantum field theory, or TQFT. To investigate its properties we apply the procedure of geometric quantization to our field theory when the gauge group is SO3 . We compare our results to the knot-theoretic spin TQFT constructed by Blanchet and Masbaum and find evidence that the two theories are isomorphic.
dc.format.mediumelectronicen
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subjectGauge fields (Physics)en
dc.subjectQuantum field theoryen
dc.titleSpin TQFTs and Chern-Simons gauge theoryen
dc.description.departmentPhysicsen
thesis.degree.departmentPhysicsen
thesis.degree.disciplinePhysicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen
dc.rights.restrictionRestricteden


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