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

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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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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Regensburg, 93040, Regensburg, Germany

    Felix Finster

  2. Departamento de Matemática, Instituto Superior Técnico, 1049-001, Lisbon, Portugal

    Moritz Reintjes

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  1. Felix Finster
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  2. Moritz Reintjes
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Correspondence to Felix Finster.

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Communicated by Karl-Henning Rehren.

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Finster, F., Reintjes, M. The Fermionic Signature Operator and Hadamard States in the Presence of a Plane Electromagnetic Wave. Ann. Henri Poincaré 18, 1671–1701 (2017). https://doi.org/10.1007/s00023-017-0557-2

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  • DOI: https://doi.org/10.1007/s00023-017-0557-2

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