Spontaneous Symmetry Breaking in the Non-Abelian Anyon Fluid

Details Spontaneous Symmetry Breaking in the Non-Abelian Anyon Fluid Spontaneous Symmetry Breaking in the Non-Abelian Anyon Fluid

1995-06-22

arxiv.org/abs/hep-th/9506155v1

Nucl.Phys.B453:727-758,1995

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 35 pages, 2 Latex figures included

Scientific paper

10.1016/0550-3213(95)00447-Z

We study the theory of non-relativistic matter with non-Abelian $U(2)$ Chern-Simons gauge interaction in $(2+1)$ dimensions. We adopt the mean field approximation in the current-algebra formulation already applied to the Abelian anyons. We first show that this method is able to describe both ``boson-based'' and ``fermion-based'' anyons and yields consistent results over the whole range of fractional statistics. In the non-Abelian theory, we find a superfluid (and superconductive) phase, which is smoothly connected with the Abelian superfluid phase originally discovered by Laughlin. The characteristic massless excitation is the Goldstone particle of the specific mechanism of spontaneous symmetry breaking. An additional massive mode is found by diagonalizing the non-Abelian, non-local, Hamiltonian in the radial gauge.

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