Superconducting and spinning non-Abelian flux tubes

Y. J. Brihaye; Y. Verbin

doi:10.1103/PhysRevD.77.105019

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Superconducting and spinning non-Abelian flux tubes

Y. J. Brihaye, Y. Verbin

DOI 10.1103/PhysRevD.77.105019 · Physical Review D

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Abstract

We find new non-Abelian flux tube solutions in a model of Nf scalar fields in the fundamental representation of SU(N)×U(1) with N≤Nf (the “extended non-Abelian Higgs model”), and study their main properties. Among the solutions there are spinning strings as well as superconducting ones. The solutions exist only in a nontrivial domain of the parameter space defined by the ratio between the SU(N) and U(1) coupling constants, the scalar self-interaction coupling constants, the magnetic fluxes (Abelian as well as non-Abelian) and the “twist parameter” which is a nontrivial relative phase of the Higgs fields.