Mean Field Theory for Fermion-based U(2) Anyons

Details Mean Field Theory for Fermion-based U(2) Anyons Mean Field Theory for Fermion-based U(2) Anyons

1996-06-10

arxiv.org/abs/hep-th/9606038v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 4 figures, macros included

Scientific paper

The energy density is computed for a U(2) Chern-Simons theory coupled to a non-relativistic fermion field (a theory of ``non-Abelian anyons'') under the assumptions of uniform charge and matter density. When the matter field is a spinless fermion, we find that this energy is independent of the two Chern-Simons coupling constants and is minimized when the non-Abelian charge density is zero. This suggests that there is no spontaneous breaking of the SU(2) subgroup of the symmetry, at least in this mean-field approximation. For spin-1/2 fermions, we find self-consistent mean-field states with a small non-Abelian charge density, which vanishes as the theory of free fermions is approached.

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