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

  • Regular Article - Theoretical Physics
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  • Published: 30 October 2024
  • Volume 2024, article number 224, (2024)
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Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory
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  • Fabrizio Canfora1,2,
  • Marcela Lagos3 &
  • Aldo Vera  ORCID: orcid.org/0000-0001-8258-05954,5 

  • 196 Accesses

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A preprint version of the article is available at arXiv.

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 Bmax = 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.

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Acknowledgments

F.C. has been funded by FONDECYT Grant No. 1240048. M.L. has been funded by FONDECYT Iniciación No. 11241079.

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Authors and Affiliations

  1. Universidad San Sebastián, sede Valdivia, General Lagos 1163, 5110693, Valdivia, Chile

    Fabrizio Canfora

  2. Centro de Estudios Científicos (CECS), Casilla, 1469, Valdivia, Chile

    Fabrizio Canfora

  3. Universidad San Sebastián, Avenida del Cóndor, 720, Santiago, Chile

    Marcela Lagos

  4. Núcleo Matemáticas Física y Estadística, Universidad Mayor, Avenida Manuel Montt, 367, Santiago, Chile

    Aldo Vera

  5. Centro Multidisciplinario de Física, Vicerrectoría de Investigación, Universidad Mayor, Camino La Pirámide, 5750, Santiago, Chile

    Aldo Vera

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Canfora, F., Lagos, M. & Vera, A. Superconducting multi-vortices and a novel BPS bound in chiral perturbation theory. J. High Energ. Phys. 2024, 224 (2024). https://doi.org/10.1007/JHEP10(2024)224

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  • Received: 03 July 2024

  • Revised: 05 October 2024

  • Accepted: 07 October 2024

  • Published: 30 October 2024

  • DOI: https://doi.org/10.1007/JHEP10(2024)224

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Keywords

  • Chiral Lagrangian
  • Effective Field Theories of QCD
  • Chiral Symmetry
  • Effective Field Theories
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