https://doi.org/10.1051/epjconf/202431400032
BPS multi-vortices in chiral perturbation theory
Núcleo Matemáticas Física y Estadística, Universidad Mayor, Avenida Manuel Montt 367, Santiago, Chile
* e-mail: aldo.vera@umayor.cl
Published online: 10 December 2024
We show that a BPS bound can be derived from chiral perturbation theory minimally coupled to electrodynamics at a finite isospin chemical potential. At a critical value of the isospin chemical potential, and for a fixed pressure value, a system of coupled first-order differential field equations can be derived for the gauge potential and the hadronic profile. This BPS system is solved by magnetic multi-vortices with quantized flux supported by a superconducting current. The topological charge density is related to the magnetic flux, but it is dressed by the hadronic profile. We discuss some of the main physical properties of this novel BPS bound. In particular, we show that a critical value for the magnetic field can be deduced.
© The Authors, published by EDP Sciences, 2024
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