On the presence of electric dipole and toroidal moments in non-Hermitian QED

We study in this paper non-relativistic properties of the non-hermitian and PT symmetric QED, in special the Pauli-Schrödinger Hamiltonian. It is shown that the scattering potential computed in terms of the Born approximation receives phenomenological modifications due to non-hermitian effects. In o...

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Main Authors: R. Bufalo, Nathan B. Xavier
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Physics Letters B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0370269324007251
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author R. Bufalo
Nathan B. Xavier
author_facet R. Bufalo
Nathan B. Xavier
author_sort R. Bufalo
collection DOAJ
description We study in this paper non-relativistic properties of the non-hermitian and PT symmetric QED, in special the Pauli-Schrödinger Hamiltonian. It is shown that the scattering potential computed in terms of the Born approximation receives phenomenological modifications due to non-hermitian effects. In one side, we observe that the non-hermiticity changes the electric coupling as well as the magnetic coupling; on the other hand, and more important, the model induces two new types of phenomenological interactions: i) an electric dipole coupling and ii) a toroidal coupling. Under the light of these results, and also that the extraordinary agreement of the Standard Model with experiment nearly excludes any significant amount of non-Hermitian couplings, we establish an analysis for each coupling in terms of their experimental data to set stringent bounds upon the axial parameters of the non-hermitian model.
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spelling doaj-art-e8c4fe6ce9524e8e987ee48e3ec9126e2025-01-10T04:37:22ZengElsevierPhysics Letters B0370-26932025-01-01860139167On the presence of electric dipole and toroidal moments in non-Hermitian QEDR. Bufalo0Nathan B. Xavier1Corresponding author.; Departamento de Fisica, Universidade Federal de Lavras, Caixa Postal 3037, 37203-202, Lavras, MG, BrazilDepartamento de Fisica, Universidade Federal de Lavras, Caixa Postal 3037, 37203-202, Lavras, MG, BrazilWe study in this paper non-relativistic properties of the non-hermitian and PT symmetric QED, in special the Pauli-Schrödinger Hamiltonian. It is shown that the scattering potential computed in terms of the Born approximation receives phenomenological modifications due to non-hermitian effects. In one side, we observe that the non-hermiticity changes the electric coupling as well as the magnetic coupling; on the other hand, and more important, the model induces two new types of phenomenological interactions: i) an electric dipole coupling and ii) a toroidal coupling. Under the light of these results, and also that the extraordinary agreement of the Standard Model with experiment nearly excludes any significant amount of non-Hermitian couplings, we establish an analysis for each coupling in terms of their experimental data to set stringent bounds upon the axial parameters of the non-hermitian model.http://www.sciencedirect.com/science/article/pii/S0370269324007251Non-hermiticityPhenomenological couplingsElectric dipole momentToroidal moment
spellingShingle R. Bufalo
Nathan B. Xavier
On the presence of electric dipole and toroidal moments in non-Hermitian QED
Physics Letters B
Non-hermiticity
Phenomenological couplings
Electric dipole moment
Toroidal moment
title On the presence of electric dipole and toroidal moments in non-Hermitian QED
title_full On the presence of electric dipole and toroidal moments in non-Hermitian QED
title_fullStr On the presence of electric dipole and toroidal moments in non-Hermitian QED
title_full_unstemmed On the presence of electric dipole and toroidal moments in non-Hermitian QED
title_short On the presence of electric dipole and toroidal moments in non-Hermitian QED
title_sort on the presence of electric dipole and toroidal moments in non hermitian qed
topic Non-hermiticity
Phenomenological couplings
Electric dipole moment
Toroidal moment
url http://www.sciencedirect.com/science/article/pii/S0370269324007251
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