arXiv · hep-ph/0412423
Topological Field Configurations in the Presence of Isospin Chemical Potential
Abstract
We analyze the stability of different topological solutions in Quantum Field Theory when an isospin chemical potential $μ$ is included. We work in the limit when temperature vanishes. We find that static vortex solutions in $2+1D$ do exist. However, the 't Hooft-Polyakov monopole in $3+1D$ is no longer stable, as soon as the chemical potential acquires a finite value. In the case of the Skyrmion, this topological solution still exists for finite $μ$, up to a certain critical value.
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M. Loewe, S. Mendizabal, J. C. Rojas. 2004-12-30. Topological Field Configurations in the Presence of Isospin Chemical Potential. https://doi.org/10.1016/j.physletb.2005.01.073
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