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arXiv · 0906.5554

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

Kurt Langfeld·Bjoern H. Wellegehausen·Andreas Wipf
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Abstract

Yang-Mills theories with a gauge group SU(N_c\=3)and quark matter in the fundamental representation share many properties with the theory of strong interactions, QCD with N_c=3. We show that, for N_c even and in the confinement phase, the gluonic average of the quark determinant is independent of the boundary conditions, periodic or anti-periodic ones. We then argue that a Fermi sphere of quarks can only exist under extreme conditions when the centre symmetry is spontaneously broken and colour is liberated. Our findings are supported by lattice gauge simulations for N_c=2...5 and are illustrated by means of a simple quark model.

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Kurt Langfeld, Bjoern H. Wellegehausen, Andreas Wipf. 2010-06-25. Confinement and the quark Fermi-surface in SU(2N) QCD-like theories. https://doi.org/10.1103/physrevd.81.114502

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