Dirac QNM spectrum from twisted semiclassical gauge theory of gravity

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Hauptverfasser: Ćirić, Marija Dimitrijević, Herceg, Nikola, Konjik, Nikola, Kumara, A. Naveena, Samsarov, Andjelo
Format: Preprint
Veröffentlicht: 2025
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author Ćirić, Marija Dimitrijević
Herceg, Nikola
Konjik, Nikola
Kumara, A. Naveena
Samsarov, Andjelo
author_facet Ćirić, Marija Dimitrijević
Herceg, Nikola
Konjik, Nikola
Kumara, A. Naveena
Samsarov, Andjelo
contents Twisted Abelian gauge theory coupled to a noncommutative (NC) Dirac field is studied in order to infer the quasinormal mode (QNM) spectrum of the fermion matter perturbations in the vicinity of the Reissner-Nordström (RN) black hole. The action functional of the theory is invariant under the truncated NC local $U(1)_{\star}$ gauge transformations that keep the gravitational background intact. The latter, being a classical gravitational background unaffected by the NC local gauge transformations, makes the theory semiclassical. The most prominent feature of the QNM spectrum is the splitting in the total angular momentum projection due to the noncommutativity induced $SO(3) \rightarrow U(1)$ symmetry breaking pattern.
format Preprint
id arxiv_https___arxiv_org_abs_2509_21620
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dirac QNM spectrum from twisted semiclassical gauge theory of gravity
Ćirić, Marija Dimitrijević
Herceg, Nikola
Konjik, Nikola
Kumara, A. Naveena
Samsarov, Andjelo
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Twisted Abelian gauge theory coupled to a noncommutative (NC) Dirac field is studied in order to infer the quasinormal mode (QNM) spectrum of the fermion matter perturbations in the vicinity of the Reissner-Nordström (RN) black hole. The action functional of the theory is invariant under the truncated NC local $U(1)_{\star}$ gauge transformations that keep the gravitational background intact. The latter, being a classical gravitational background unaffected by the NC local gauge transformations, makes the theory semiclassical. The most prominent feature of the QNM spectrum is the splitting in the total angular momentum projection due to the noncommutativity induced $SO(3) \rightarrow U(1)$ symmetry breaking pattern.
title Dirac QNM spectrum from twisted semiclassical gauge theory of gravity
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2509.21620