Do we need an alternative to local gauge coupling to electromagnetic fields?
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| Title: | Do we need an alternative to local gauge coupling to electromagnetic fields? |
|---|---|
| Authors: | Minotti, F.1,2 (AUTHOR) minotti@df.uba.ar, Modanese, G.3 (AUTHOR) giovanni.modanese@unibz.it |
| Source: | International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 1/10/2026, Vol. 41 Issue 1, p1-23. 23p. |
| Subjects: | Electromagnetic fields, Superconductors, Spinor analysis, Electric currents, Scalar field theory, Gauge field theory, Quasiparticles, Electrodynamics |
| Abstract: | The local gauge coupling through the recipe ∂ μ ψ → ∂ μ ψ + i q A μ ψ , which works so well with Dirac spinors in QED and in the gauge theories of the Standard Model, has a peculiarity when applied to scalar fields: it generates in the Lagrangian a coupling term J μ A μ in which J μ does not coincide with the conserved Nöther current associated to the global gauge symmetry. This is not an inconsistency, just a feature that appears when working out the locally gauge invariant action and which ensures that the correct conserved current is the source of the gauge field. What would happen then if we were to assume for the scalar field the same coupling J μ A μ through a conserved current which holds for spinor QED and classical electrodynamics? The consequence is that one is forced in that case to renounce to the principle of local gauge symmetry and must thus consider the electromagnetic (e.m.) field to be described by electrodynamic theories compatible with that lack of invariance, like the extended electrodynamics by Aharonov–Bohm. No differences with the usual theory appear for fermion systems when strict local charge conservation applies. In particular, if we consider the nonrelativistic quantum theory as the low-energy limit of the relativistic theory, we would expect no modifications of Schrödinger equation when applied to fermion systems. However, when scalar boson systems are considered, like Cooper pairs quasi-particles in superconductors, in the new formulation the e.m. fields include a source, additional to the usual conserved four-current and, besides, the corresponding Schrödinger equation acquires a new term, proportional to A 2 , which can lead to observable consequences, like a sizable change in the estimate of the magnetic penetration depth in certain superconductors, compatible with the experimental data. In conclusion, the alternative coupling considered yields a viable effective model for bosonic condensed matter systems, while for Dirac fermions it reduces to standard QED. Soft photon factorization and KLN cancellations in scalar QED fail in this framework, therefore particle physics scattering is outside the scope. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
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| Items | – Name: Title Label: Title Group: Ti Data: Do we need an alternative to local gauge coupling to electromagnetic fields? – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Minotti%2C+F%2E%22">Minotti, F.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> minotti@df.uba.ar</i><br /><searchLink fieldCode="AR" term="%22Modanese%2C+G%2E%22">Modanese, G.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> giovanni.modanese@unibz.it</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modern+Physics+A%3A+Particles+%26+Fields%3B+Gravitation%3B+Cosmology%3B+Nuclear+Physics%22">International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics</searchLink>. 1/10/2026, Vol. 41 Issue 1, p1-23. 23p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Electromagnetic+fields%22">Electromagnetic fields</searchLink><br /><searchLink fieldCode="DE" term="%22Superconductors%22">Superconductors</searchLink><br /><searchLink fieldCode="DE" term="%22Spinor+analysis%22">Spinor analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+currents%22">Electric currents</searchLink><br /><searchLink fieldCode="DE" term="%22Scalar+field+theory%22">Scalar field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Gauge+field+theory%22">Gauge field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Quasiparticles%22">Quasiparticles</searchLink><br /><searchLink fieldCode="DE" term="%22Electrodynamics%22">Electrodynamics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The local gauge coupling through the recipe ∂ μ ψ → ∂ μ ψ + i q A μ ψ , which works so well with Dirac spinors in QED and in the gauge theories of the Standard Model, has a peculiarity when applied to scalar fields: it generates in the Lagrangian a coupling term J μ A μ in which J μ does not coincide with the conserved Nöther current associated to the global gauge symmetry. This is not an inconsistency, just a feature that appears when working out the locally gauge invariant action and which ensures that the correct conserved current is the source of the gauge field. What would happen then if we were to assume for the scalar field the same coupling J μ A μ through a conserved current which holds for spinor QED and classical electrodynamics? The consequence is that one is forced in that case to renounce to the principle of local gauge symmetry and must thus consider the electromagnetic (e.m.) field to be described by electrodynamic theories compatible with that lack of invariance, like the extended electrodynamics by Aharonov–Bohm. No differences with the usual theory appear for fermion systems when strict local charge conservation applies. In particular, if we consider the nonrelativistic quantum theory as the low-energy limit of the relativistic theory, we would expect no modifications of Schrödinger equation when applied to fermion systems. However, when scalar boson systems are considered, like Cooper pairs quasi-particles in superconductors, in the new formulation the e.m. fields include a source, additional to the usual conserved four-current and, besides, the corresponding Schrödinger equation acquires a new term, proportional to A 2 , which can lead to observable consequences, like a sizable change in the estimate of the magnetic penetration depth in certain superconductors, compatible with the experimental data. In conclusion, the alternative coupling considered yields a viable effective model for bosonic condensed matter systems, while for Dirac fermions it reduces to standard QED. Soft photon factorization and KLN cancellations in scalar QED fail in this framework, therefore particle physics scattering is outside the scope. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0217751X26500247 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 1 Subjects: – SubjectFull: Electromagnetic fields Type: general – SubjectFull: Superconductors Type: general – SubjectFull: Spinor analysis Type: general – SubjectFull: Electric currents Type: general – SubjectFull: Scalar field theory Type: general – SubjectFull: Gauge field theory Type: general – SubjectFull: Quasiparticles Type: general – SubjectFull: Electrodynamics Type: general Titles: – TitleFull: Do we need an alternative to local gauge coupling to electromagnetic fields? Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Minotti, F. – PersonEntity: Name: NameFull: Modanese, G. IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 01 Text: 1/10/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 0217751X Numbering: – Type: volume Value: 41 – Type: issue Value: 1 Titles: – TitleFull: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics Type: main |
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