Dynamical chiral symmetry breaking and a critical mass
| dc.creator | Chang, Lei | |
| dc.creator | Liu, Yu-Xin | |
| dc.creator | Bhagwat, Mandar S. | |
| dc.creator | Roberts, Craig D. | |
| dc.creator | Wright, Stewart V. | |
| dc.date | 2006-05-23 | |
| dc.date | 2006-11-13 | |
| dc.date.accessioned | 2026-07-07T10:26:21Z | |
| dc.date.available | 2026-07-07T10:26:21Z | |
| dc.description | 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 <bar-q q> in the presence of a nonzero current-mass. The behaviour of this condensate indicates that the essentially dynamical component of chiral symmetry breaking decreases with increasing current-quark mass. | |
| dc.description | 9 pages, 7 figures. Minor wording changes | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0605058 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0605058 | |
| dc.identifier | Phys.Rev.C75:015201,2007 | |
| dc.identifier | doi:10.1103/PhysRevC.75.015201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/176848 | |
| dc.subject | Nuclear Theory | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Dynamical chiral symmetry breaking and a critical mass | |
| dc.type | text |