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Yang-Mills theories with a gauge group SU(N_c\=3)and quark matter in thefundamental representation share many properties with the theory of stronginteractions, QCD with N_c=3. We show that, for N_c even and in the confinementphase, the gluonic average of the quark determinant is independent of theboundary conditions, periodic or anti-periodic ones. We then argue that a Fermisphere of quarks can only exist under extreme conditions when the centresymmetry is spontaneously broken and colour is liberated. Our findings aresupported by lattice gauge simulations for N_c=2...5 and are illustrated bymeans of a simple quark model.

Confinement and the quark Fermi-surface in SU(2N) QCD-like theories