Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory
Abstract We derive a novel BPS bound from chiral perturbation theory minimally coupled to electrodynamics at finite isospin chemical potential. At a critical value of the isospin chemical potential, a system of three first-order differential field equations (which implies the second-order field equa...
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2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)224 |
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| author | Fabrizio Canfora Marcela Lagos Aldo Vera |
| author_facet | Fabrizio Canfora Marcela Lagos Aldo Vera |
| author_sort | Fabrizio Canfora |
| collection | DOAJ |
| description | Abstract We derive a novel BPS bound from chiral perturbation theory minimally coupled to electrodynamics at finite isospin chemical potential. At a critical value of the isospin chemical potential, a system of three first-order differential field equations (which implies the second-order field equations) for the gauge field and the hadronic profile can be derived from the requirement to saturate the bound. These BPS configurations represent magnetic multi-vortices with quantized flux supported by a superconducting current. The corresponding topological charge density is related to the magnetic flux density, but is screened by the hadronic profile. Such a screening effect allows to derive the maximal value of the magnetic field generated by these BPS magnetic vortices, being B max = 2, 04 × 1014 G. The solution for a single BPS vortex is discussed in detail, and some physical consequences, together with the comparison with the magnetic vortices in the Ginzburg-Landau theory at critical coupling, are described. |
| format | Article |
| id | doaj-art-6827526fcd5a4e888bbb9d79f55619c8 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-6827526fcd5a4e888bbb9d79f55619c82025-08-20T02:20:41ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241013110.1007/JHEP10(2024)224Superconducting multi-vortices and a novel BPS bound in chiral perturbation theoryFabrizio Canfora0Marcela Lagos1Aldo Vera2Universidad San Sebastián, sede ValdiviaUniversidad San SebastiánNúcleo Matemáticas Física y Estadística, Universidad MayorAbstract We derive a novel BPS bound from chiral perturbation theory minimally coupled to electrodynamics at finite isospin chemical potential. At a critical value of the isospin chemical potential, a system of three first-order differential field equations (which implies the second-order field equations) for the gauge field and the hadronic profile can be derived from the requirement to saturate the bound. These BPS configurations represent magnetic multi-vortices with quantized flux supported by a superconducting current. The corresponding topological charge density is related to the magnetic flux density, but is screened by the hadronic profile. Such a screening effect allows to derive the maximal value of the magnetic field generated by these BPS magnetic vortices, being B max = 2, 04 × 1014 G. The solution for a single BPS vortex is discussed in detail, and some physical consequences, together with the comparison with the magnetic vortices in the Ginzburg-Landau theory at critical coupling, are described.https://doi.org/10.1007/JHEP10(2024)224Chiral LagrangianEffective Field Theories of QCDChiral SymmetryEffective Field Theories |
| spellingShingle | Fabrizio Canfora Marcela Lagos Aldo Vera Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory Journal of High Energy Physics Chiral Lagrangian Effective Field Theories of QCD Chiral Symmetry Effective Field Theories |
| title | Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory |
| title_full | Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory |
| title_fullStr | Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory |
| title_full_unstemmed | Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory |
| title_short | Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory |
| title_sort | superconducting multi vortices and a novel bps bound in chiral perturbation theory |
| topic | Chiral Lagrangian Effective Field Theories of QCD Chiral Symmetry Effective Field Theories |
| url | https://doi.org/10.1007/JHEP10(2024)224 |
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