Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-07-24
Phys.Rev. D68 (2003) 065021
Physics
High Energy Physics
High Energy Physics - Phenomenology
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.
Bicudo P. J. A.
Nefediev A. V.
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