Vacuum and vortices in the inhomogeneous Abelian Higgs model
Year: 2025
Type: article
Abstract: The inhomogeneous Abelian Higgs model with a magnetic impurity in the Bogomolny-Prasad-Sommerfield (BPS) limit is studied for both relativistic and nonrelativistic regimes. Though the symmetry of spatial translation is broken by inhomogeneity, extension to an N = 1 supersymmetric theory is admitted. The quartic scalar potential has a minimum value depending on strength of the impurity but possesses a broken phase at a spatial asymptote. The vacuum configuration of a broken phase can be neither a constant nor the minimum of the scalar potential but is found as a nontrivial solution of the Bogomolny equations. While its energy density and magnetic field are given by the function of spatial coordinates, the energy and magnetic flux remain zero. The sign of the magnetic impurity term allows either a BPS sector or anti-BPS sector but not both. Thus, the obtained solution is identified as the new inhomogeneous broken vacuum of minimum zero energy. In the presence of rotationally symmetric Gaussian type inhomogeneity, topological vortex solutions are also obtained, and the effects of the impurity to the vortex are numerically analyzed.
Authors: Yoonbai Kim, SeungJun Jeon, O-Kab Kwon, Hanwool Song, Chanju Kim
Institutions: Sungkyunkwan University, Ewha Womans University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4407698256