Trace extensions, determinant bundles, and gauge group cocycles

dc.creatorArnlind, Joakim
dc.creatorMickelsson, Jouko
dc.date2002-05-14
dc.date2002-09-04
dc.date.accessioned2026-07-07T04:13:32Z
dc.date.available2026-07-07T04:13:32Z
dc.descriptionWe study the geometry of determinant line bundles associated to Dirac operators on compact odd dimensional manifolds. Physically, these arise as (local) vacuum line bundles in quantum gauge theory. We give a simplified derivation of the commutator anomaly formula using a construction based on noncyclic trace extensions and associated multiplicative renormalized determinants.
dc.descriptionclarifications and improvements in the text, added references; results unchanged
dc.identifierhttps://arxiv.org/abs/hep-th/0205126
dc.identifierhttp://arxiv.org/abs/hep-th/0205126
dc.identifierLett.Math.Phys. 62 (2002) 101-110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51290
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleTrace extensions, determinant bundles, and gauge group cocycles
dc.typetext

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