dorsal/arxiv
View SchemaDynamical chiral symmetry breaking and a critical mass
| Authors | Lei Chang, Yu-Xin Liu, Mandar S. Bhagwat, Craig D. Roberts, Stewart V. Wright |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0605058 |
| URL | https://arxiv.org/abs/nucl-th/0605058 |
| DOI | 10.1103/PhysRevC.75.015201 |
| Journal | Phys.Rev.C75:015201,2007 |
Abstract
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.
{
"annotation_id": "3e75057e-6398-4199-b8cd-5811772bb414",
"date_created": "2026-03-02T18:00:07.908000Z",
"date_modified": "2026-03-02T18:00:07.908000Z",
"file_hash": "31608df596a6510da74d18d42c21790d5137cb0b11420ba729cfdbb1fd6bfdb9",
"private": false,
"record": {
"abstract": "On a bounded, measurable domain of non-negative current-quark mass, realistic\nmodels of QCD\u0027s gap equation can simultaneously admit two inequivalent\ndynamical chiral symmetry breaking (DCSB) solutions and a solution that is\nunambiguously connected with the realisation of chiral symmetry in the Wigner\nmode. The Wigner solution and one of the DCSB solutions are destabilised by a\ncurrent-quark mass and both disappear when that mass exceeds a critical value.\nThis critical value also bounds the domain on which the surviving DCSB solution\npossesses a chiral expansion. This value can therefore be viewed as an upper\nbound on the domain within which a perturbative expansion in the current-quark\nmass around the chiral limit is uniformly valid for physical quantities. For a\npseudoscalar meson constituted of equal mass current-quarks, it corresponds to\na mass m_{0^-}~0.45GeV. In our discussion we employ properties of the two DCSB\nsolutions of the gap equation that enable a valid definition of \u003cbar-q q\u003e in\nthe presence of a nonzero current-mass. The behaviour of this condensate\nindicates that the essentially dynamical component of chiral symmetry breaking\ndecreases with increasing current-quark mass.",
"arxiv_id": "nucl-th/0605058",
"authors": [
"Lei Chang",
"Yu-Xin Liu",
"Mandar S. Bhagwat",
"Craig D. Roberts",
"Stewart V. Wright"
],
"categories": [
"nucl-th",
"hep-lat",
"hep-ph"
],
"doi": "10.1103/PhysRevC.75.015201",
"journal_ref": "Phys.Rev.C75:015201,2007",
"title": "Dynamical chiral symmetry breaking and a critical mass",
"url": "https://arxiv.org/abs/nucl-th/0605058"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "05826d86-1db8-40ac-a9e0-9a0019c38486",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}