23 citations · 38 across the 5 of their papers we have counts for
8 papers · 1 filter
Gerbes, (twisted) K-theory, and the supersymmetric WZW model
Jouko Mickelsson
The aim of this talk is to explain how symmetry breaking in a quantum field theory problem leads to a study of projective bundles, Dixmier-Douady classes, and associated gerbes. A…
Trace extensions, determinant bundles, and gauge group cocycles
Joakim Arnlind, Jouko Mickelsson
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 quan…
Vacuum Polarization Renormalization and the Geometric Phase
Edwin Langmann, Jouko Mickelsson
As an application of the renormalization method introduced by the second author we give a causal definition of the phase of the quantum scattering matrix for fermions in external Y…
Schwinger terms, gerbes, and operator residues
Jouko Mickelsson
These notes explain recent developments concerning chiral anomalies and hamiltonian quantization, their relation to the theory of gerbes, and extensions of generalized loop algebra…
Renormalization of current algebra
Jouko Mickelsson
In this talk I want to explain the operator substractions needed to renormalize gauge currents in a second quantized theory. The case of space-time dimensions is considered i…
Regularization of current algebra
Jouko Mickelsson
In this talk I want to explain the operator substractions needed to regularize gauge currents in a second quantized theory. The case of space-time dimension is considered in…