The Phase of the Scattering Matrix
Jos\'e M. Gracia-Bond\'ia (Univ. Complutense de Madrid)
TL;DR
This paper investigates the phase of the quantum scattering matrix in external fields using the Shale-Stinespring approach, linking it with Epstein-Glaser renormalization, providing exact and perturbative insights into vacuum polarization.
Contribution
It introduces a novel analysis of the scattering matrix phase in external fields, connecting Shale-Stinespring and Epstein-Glaser methods for the first time.
Findings
Exact calculation of the scattering matrix phase
Perturbative analysis of vacuum polarization
Established link between two renormalization approaches
Abstract
Vacuum polarization in external fields is treated by way of calculating - exactly and then perturbatively - the phase of the quantum scattering matrix in the Shale-Stinespring approach to field theory. The link between the Shale-Stinespring method and the Epstein-Glaser renormalization procedure is highlighted.
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