Vacuum Polarization Renormalization and the Geometric Phase

Details Vacuum Polarization Renormalization and the Geometric Phase Vacuum Polarization Renormalization and the Geometric Phase

1996-12-17

arxiv.org/abs/hep-th/9612177v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages in AMSTEX format. This is a talk given by Jouko Mickelsson at "XXI. Colloquium on Group Theoretical Methods in Physics

Scientific paper

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 Yang-Mills potentials. The phase is defined using parallel transport along the path of renormalized time evolution operators. The time evolution operators are elements of the restricted unitary group $U_{res}$ of Pressley and Segal. The central extension of $U_{res}$ plays a central role.

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