Vacuum Polarization Renormalization and the Geometric Phase

Edwin Langmann; Jouko Mickelsson

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arXiv · hep-th/9612177

Vacuum Polarization Renormalization and the Geometric Phase

Edwin Langmann·Jouko Mickelsson

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Abstract

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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Edwin Langmann, Jouko Mickelsson. 1996-12-17. Vacuum Polarization Renormalization and the Geometric Phase. https://arxiv.org/abs/hep-th/9612177

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