Index Theory, Gerbes, and Hamiltonian Quantization

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dc.creatorCarey, Alan
dc.creatorMickelsson, Jouko
dc.creatorMurray, Michael
dc.date1995-11-22
dc.date.accessioned2026-07-07T10:35:20Z
dc.date.available2026-07-07T10:35:20Z
dc.descriptionWe give an Atiyah-Patodi-Singer index theory construction of the bundle of fermionic Fock spaces parametrized by vector potentials in odd space dimensions and prove that this leads in a simple manner to the known Schwinger terms (Faddeev-Mickelsson cocycle) for the gauge group action. We relate the APS construction to the bundle gerbe approach discussed recently by Carey and Murray, including an explicit computation of the Dixmier-Douady class. An advantage of our method is that it can be applied whenever one has a form of the APS theorem at hand, as in the case of fermions in an external gravitational field.
dc.description16 pages, Plain TeX inputting AMSTeX
dc.identifierhttps://arxiv.org/abs/hep-th/9511151
dc.identifierhttp://arxiv.org/abs/hep-th/9511151
dc.identifierCommun.Math.Phys.183:707-722,1997
dc.identifierdoi:10.1007/s002200050048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179724
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleIndex Theory, Gerbes, and Hamiltonian Quantization
dc.typetext

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