SPONTANEOUS SYMMETRY-BREAKING IN THE NON-ABELIAN ANYON FLUID

We study the theory of non-relativistic matter coupled to the non-abel ian U(2) Chem-Simons gauge field in (2 + 1) dimensions. We adopt the m ean-field approximation in the current algebra formulation already app lied 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 t he non-abelian theory, we find a superfluid (and superconductive) phas e, which is smoothly connected with the abelian superfluid phase origi nally discovered by Laughlin. The characteristic massless excitation i s the Goldstone particle of the specific mechanism of spontaneous symm etry breaking. An additional massive mode is found by diagonalizing th e non-local, non-abelian hamiltonian in the radial gauge.