Trace extensions, determinant bundles, and gauge group cocycles
| dc.creator | Arnlind, Joakim | |
| dc.creator | Mickelsson, Jouko | |
| dc.date | 2002-05-14 | |
| dc.date | 2002-09-04 | |
| dc.date.accessioned | 2026-07-07T04:13:32Z | |
| dc.date.available | 2026-07-07T04:13:32Z | |
| dc.description | We 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.description | clarifications and improvements in the text, added references; results unchanged | |
| dc.identifier | https://arxiv.org/abs/hep-th/0205126 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0205126 | |
| dc.identifier | Lett.Math.Phys. 62 (2002) 101-110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51290 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.title | Trace extensions, determinant bundles, and gauge group cocycles | |
| dc.type | text |