Grey-Body Factors for Scalar and Dirac Fields in the Euler-Heisenberg Electrodynamics

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1. Verfasser: Malik, Zainab
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Veröffentlicht: 2025
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author Malik, Zainab
author_facet Malik, Zainab
contents We study grey-body factors of neutral scalar and Dirac fields in the background of charged black holes arising in the Einstein--Euler--Heisenberg (EEH) theory. The Euler--Heisenberg corrections, which represent nonlinear electrodynamical effects due to vacuum polarization, modify the effective potential barrier surrounding the black hole and thereby affect the transmission probabilities for Hawking quanta. Using the sixth-order WKB method, and verifying our results against the recently proposed correspondence between grey-body factors and quasinormal modes, we compute the frequency-dependent grey-body spectra for various values of the black hole charge and EEH coupling. We find that the nonlinear coupling systematically lowers the effective potential barrier, enhancing the transmission probability. This work represents the first step toward incorporating nonlinear QED effects into the study of Hawking evaporation, focusing here on neutral test fields.
format Preprint
id arxiv_https___arxiv_org_abs_2509_15995
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Grey-Body Factors for Scalar and Dirac Fields in the Euler-Heisenberg Electrodynamics
Malik, Zainab
General Relativity and Quantum Cosmology
We study grey-body factors of neutral scalar and Dirac fields in the background of charged black holes arising in the Einstein--Euler--Heisenberg (EEH) theory. The Euler--Heisenberg corrections, which represent nonlinear electrodynamical effects due to vacuum polarization, modify the effective potential barrier surrounding the black hole and thereby affect the transmission probabilities for Hawking quanta. Using the sixth-order WKB method, and verifying our results against the recently proposed correspondence between grey-body factors and quasinormal modes, we compute the frequency-dependent grey-body spectra for various values of the black hole charge and EEH coupling. We find that the nonlinear coupling systematically lowers the effective potential barrier, enhancing the transmission probability. This work represents the first step toward incorporating nonlinear QED effects into the study of Hawking evaporation, focusing here on neutral test fields.
title Grey-Body Factors for Scalar and Dirac Fields in the Euler-Heisenberg Electrodynamics
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2509.15995