Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2006-05-23
Phys.Rev.C75:015201,2007
Physics
Nuclear Physics
Nuclear Theory
9 pages, 7 figures. Minor wording changes
Scientific paper
10.1103/PhysRevC.75.015201
On a bounded, measurable domain of non-negative current-quark mass, realistic models of QCD's gap equation can simultaneously admit two inequivalent dynamical chiral symmetry breaking (DCSB) solutions and a solution that is unambiguously connected with the realisation of chiral symmetry in the Wigner mode. The Wigner solution and one of the DCSB solutions are destabilised by a current-quark mass and both disappear when that mass exceeds a critical value. This critical value also bounds the domain on which the surviving DCSB solution possesses a chiral expansion. This value can therefore be viewed as an upper bound on the domain within which a perturbative expansion in the current-quark mass around the chiral limit is uniformly valid for physical quantities. For a pseudoscalar meson constituted of equal mass current-quarks, it corresponds to a mass m_{0^-}~0.45GeV. In our discussion we employ properties of the two DCSB solutions of the gap equation that enable a valid definition of
Bhagwat Mandar S.
Chang Lei
Liu Yu-Xin
Roberts Craig D.
Wright Stewart V.
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