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Journal of High Energy Physics

, 2014:95 | Cite as

Magnetothermodynamics of BPS baby skyrmions

  • C. Adam
  • T. Romanczukiewicz
  • J. Sanchez-Guillen
  • A. Wereszczynski
Open Access
Regular Article - Theoretical Physics
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Abstract

The magnetothermodynamics of skyrmion type matter described by the gauged BPS baby Skyrme model at zero temperature is investigated. We prove that the BPS property of the model is preserved also for boundary conditions corresponding to an asymptotically constant magnetic field. The BPS bound and the corresponding BPS equations saturating the bound are found. Further, we show that one may introduce pressure in the gauged model by a redefinition of the superpotential. Interestingly, this is related to non-extremal type solutions in the so-called fake supersymmetry method. Finally, we compute the equation of state of magnetized BSP baby skyrmions inserted into an external constant magnetic field H and under external pressure P , i.e., V = V (P, H), where V is the “volume” (area) occupied by the skyrmions. We show that the BPS baby skyrmions form a ferromagnetic medium.

Keywords

Field Theories in Lower Dimensions Solitons Monopoles and Instantons Chiral Lagrangians Topological States of Matter 
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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • C. Adam
    • 1
  • T. Romanczukiewicz
    • 2
  • J. Sanchez-Guillen
    • 1
  • A. Wereszczynski
    • 2
  1. 1.Departamento de Física de Partículas, Universidad de Santiago de Compostela and Instituto Galego de Física de Altas Enerxias (IGFAE)Santiago de CompostelaSpain
  2. 2.Institute of PhysicsJagiellonian UniversityKrakówPoland

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