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The fermionic signature operator and Hadamard states in the presence of a plane electromagnetic wave

Finster, Felix and Reintjes, Moritz (2016) The fermionic signature operator and Hadamard states in the presence of a plane electromagnetic wave. Preprintreihe der Fakultät Mathematik 7/2016, Working Paper. (Submitted)

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Abstract

We give a non-perturbative construction of a distinguished state for the quantized Dirac field in Minkowski space in the presence of a time-dependent external field of the form of a plane electromagnetic wave. By explicit computation of the fermionic signature operator, it is shown that the Dirac operator has the
strong mass oscillation property. We prove that the resulting fermionic projector state is a Hadamard state.


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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2016
Institutions:Mathematics > Prof. Dr. Felix Finster
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Submitted
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:35327
Owner only: item control page

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