Chiral symmetry breaking solutions for QCD in the truncated Coulomb gauge

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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RevTeX4, 18 pages, 3 Postscript figures, uses epsfig.sty, to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.68.065021

In this paper we study the power-like confining potentials r^alpha. The region of allowed alphas is identified, the mass-gap equation is constructed for an arbitrary alpha and solved for several values of the latter, and the vacuum energy and the chiral condensate are calculated. The question of replica solutions to the mass-gap equation for such potentials is addressed and it is demonstrated that the number of replicas is infinite for any alpha, as a consequence of the peculiar behaviour of the quark self-energy in the infrared domain.

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