2003/07/24 by Pedro Bicudo, P. J. A. Bicudo, A. V. Nefediev · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.68.065021
published as Phys.Rev. D68 (2003) 065021 · RevTeX4, 18 pages, 3 Postscript figures, uses epsfig.sty, to appear in Phys.Rev.D
arxiv created 2003/07/24 · openalex publication_date 2003/09/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study the powerlike confining potentials r^\ensuremathα. The region of allowed \ensuremathα's is identified, the mass-gap equation is constructed for an arbitrary \ensuremathα 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 \ensuremathα, as a consequence of the peculiar behavior of the quark self-energy in the infrared domain.