Topological Field Configurations in the Presence of Isospin Chemical Potential

Details Topological Field Configurations in the Presence of Isospin Chemical Potential Topological Field Configurations in the Presence of Isospin Chemical Potential

2004-12-30

arxiv.org/abs/hep-ph/0412423v1

Phys.Lett. B609 (2005) 437-441

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, no figures

Scientific paper

10.1016/j.physletb.2005.01.073

We analyze the stability of different topological solutions in Quantum Field Theory when an isospin chemical potential $\mu $ 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 $\mu$, up to a certain critical value.

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