23 citations · 30 across the 4 of their papers we have counts for
11 papers
Star products and central extensions
Jouko Mickelsson
The purpose of the present note is two-fold. First, to show that deformations of algebras of smooth functions can be used to construct topologically nontrivial standard central ext…
Gerbes on quantum groups
Jouko Mickelsson
We discuss an approach to quantum gerbes over quantum groups in terms of q-deformation of transition functions for a loop group bundle. The case of the quantum group SUq(2) is trea…
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…
Chiral Anomaly on a Lattice
Jouko Mickelsson
A calculation of the chiral anomaly on a finite lattice without fermion doubling is presented . The lattice gauge field is defined in the spirit of noncommutative geometry. Standar…