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https://hdl.handle.net/2440/3515
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DC Field | Value | Language |
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dc.contributor.author | Carey, A. | - |
dc.contributor.author | Mickelsson, J. | - |
dc.contributor.author | Murray, M. | - |
dc.date.issued | 1997 | - |
dc.identifier.citation | Communications in Mathematical Physics, 1997; 183(3):707-722 | - |
dc.identifier.issn | 0010-3616 | - |
dc.identifier.issn | 1432-0916 | - |
dc.identifier.uri | http://hdl.handle.net/2440/3515 | - |
dc.description.abstract | We 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.language.iso | en | - |
dc.publisher | SPRINGER VERLAG | - |
dc.source.uri | http://dx.doi.org/10.1007/s002200050048 | - |
dc.title | Index Theory, Gerbes, and Hamiltonian Quantization | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1007/s002200050048 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Murray, M. [0000-0003-3713-9623] | - |
Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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