Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory
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arXiv
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| Natura: | Preprint |
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2024
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| _version_ | 1866909341303439360 |
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| author | Canfora, Fabrizio Lagos, Marcela Vera, Aldo |
| author_facet | Canfora, Fabrizio Lagos, Marcela Vera, Aldo |
| contents | 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 $B_{max}=2,04 \times 10^{14}G$. 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 | Preprint |
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arxiv_https___arxiv_org_abs_2405_08082 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory Canfora, Fabrizio Lagos, Marcela Vera, Aldo High Energy Physics - Theory High Energy Astrophysical Phenomena High Energy Physics - Phenomenology Nuclear Theory 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 $B_{max}=2,04 \times 10^{14}G$. 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. |
| title | Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory |
| topic | High Energy Physics - Theory High Energy Astrophysical Phenomena High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2405.08082 |