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Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory
- Publication Year :
- 2024
-
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 $B_{max}=2,04 \times 10^{14}G$. 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.<br />Comment: V3: Presentation improved, discussion on the interaction of vortices with quarks together with a more detailed comparison with the existing literature included. Version accepted for publication on JHEP
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.08082
- Document Type :
- Working Paper