The Fermionic Projector in a Time-Dependent External Potential: Mass Oscillation Property and Hadamard States

URN to cite this document:: urn:nbn:de:bvb:355-epub-330902
DOI to cite this document:: 10.5283/epub.33090

Finster, Felix ; Murro, Simone ; Röken, Christian

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Date of publication of this fulltext: 17 Dec 2015 14:55

Alternative links to fulltext:Arxiv

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Abstract

We give a non-perturbative construction of the fermionic projector in Minkowski space coupled to a time-dependent external potential which is smooth and decays faster than quadratically for large times. The weak and strong mass oscillation properties are proven. We show that the integral kernel of the fermionic projector is of Hadamard form, provided that the time integral of the spatial sup-norm ...