Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory

May 13, 2024
31 pages
Published in:
  • JHEP 10 (2024) 224
  • Published: Oct 30, 2024
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Abstract: (Springer)
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 Bmax_{max} = 2, 04 × 1014^{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.
Note:
  • 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
  • Chiral Lagrangian
  • Effective Field Theories of QCD
  • Chiral Symmetry
  • Effective Field Theories
  • vortex: magnetic
  • perturbation theory: chiral
  • potential: chemical
  • charge: topological
  • current: superconductivity
  • vortex: BPS