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We discuss dynamical breaking of non-abelian gauge groups in three dimensional (lattice) gauge systems via the formation of fermion condensates. A physically relevant example, motivated by condensed-matter physics, is that of a fermionic gauge theory with group SU(2)⊗ U_S(1) ⊗ U_E(1). In the strong U_S(1) region, the SU(2) symmetry breaks down to a U(1), due to the formation of a parity-invariant fermion condensate. We conjecture a phase diagram for the theory involving a critical line, whichdoi:10.1142/s0217732398001091 fatcat:6nzs5ezvp5elnbsvxnx46dcesm