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The fermionic projector in a time-dependent external potential: Mass oscillation property and Hadamard states

Finster, Felix ; Murro, Simone ; Röken, Christian



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 the Hadamard form, provided that the time integral of the spatial ...

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