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The Fermionic Signature Operator and Hadamard States in the Presence of a Plane Electromagnetic Wave

Finster, Felix and Reintjes, Moritz (2017) The Fermionic Signature Operator and Hadamard States in the Presence of a Plane Electromagnetic Wave. Annales Henri Poincaré 18 (5), pp. 1671-1701.

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Other URL: http://doi.org/10.1007/s00023-017-0557-2


Abstract

We give a nonperturbative 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:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Felix Finster
Identification Number:
ValueType
10.1007/s00023-017-0557-2DOI
Keywords:NONPERTURBATIVE CONSTRUCTION; SPACE-TIMES; FIELDS; PROJECTOR; LIFETIME; SURFACES;
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39053
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