dorsal/arxiv
View SchemaAspects and consequences of a dressed-quark-gluon vertex
| Authors | M. S. Bhagwat, A. Hoell, A. Krassnigg, C. D. Roberts, P. C. Tandy |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0403012 |
| URL | https://arxiv.org/abs/nucl-th/0403012 |
| DOI | 10.1103/PhysRevC.70.035205 |
| Journal | Phys.Rev.C70:035205,2004 |
Abstract
Features of the dressed-quark-gluon vertex and their role in the gap and Bethe-Salpeter equations are explored. It is argued that quenched lattice data indicate the existence of net attraction in the colour-octet projection of the quark-antiquark scattering kernel. This attraction affects the uniformity with which solutions of truncated equations converge pointwise to solutions of the complete gap and vertex equations. For current-quark masses less than the scale set by dynamical chiral symmetry breaking, the dependence of the dressed-quark-gluon vertex on the current-quark mass is weak. The study employs a vertex model whose diagrammatic content is explicitly enumerable. That enables the systematic construction of a vertex-consistent Bethe-Salpeter kernel and thereby an exploration of the consequences for the strong interaction spectrum of attraction in the colour-octet channel. With rising current-quark mass the rainbow-ladder truncation is shown to provide an increasingly accurate estimate of a bound state's mass. Moreover, the calculated splitting between vector and pseudoscalar meson masses vanishes as the current-quark mass increases, which argues for the mass of the pseudoscalar partner of the \Upsilon(1S) to be above 9.4 GeV. The absence of colour-antitriplet diquarks from the strong interaction spectrum is contingent upon the net amount of attraction in the octet projected quark-antiquark scattering kernel. There is a window within which diquarks appear. The amount of attraction suggested by lattice results is outside this domain.
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"abstract": "Features of the dressed-quark-gluon vertex and their role in the gap and\nBethe-Salpeter equations are explored. It is argued that quenched lattice data\nindicate the existence of net attraction in the colour-octet projection of the\nquark-antiquark scattering kernel. This attraction affects the uniformity with\nwhich solutions of truncated equations converge pointwise to solutions of the\ncomplete gap and vertex equations. For current-quark masses less than the scale\nset by dynamical chiral symmetry breaking, the dependence of the\ndressed-quark-gluon vertex on the current-quark mass is weak. The study employs\na vertex model whose diagrammatic content is explicitly enumerable. That\nenables the systematic construction of a vertex-consistent Bethe-Salpeter\nkernel and thereby an exploration of the consequences for the strong\ninteraction spectrum of attraction in the colour-octet channel. With rising\ncurrent-quark mass the rainbow-ladder truncation is shown to provide an\nincreasingly accurate estimate of a bound state\u0027s mass. Moreover, the\ncalculated splitting between vector and pseudoscalar meson masses vanishes as\nthe current-quark mass increases, which argues for the mass of the pseudoscalar\npartner of the \\Upsilon(1S) to be above 9.4 GeV. The absence of\ncolour-antitriplet diquarks from the strong interaction spectrum is contingent\nupon the net amount of attraction in the octet projected quark-antiquark\nscattering kernel. There is a window within which diquarks appear. The amount\nof attraction suggested by lattice results is outside this domain.",
"arxiv_id": "nucl-th/0403012",
"authors": [
"M. S. Bhagwat",
"A. Hoell",
"A. Krassnigg",
"C. D. Roberts",
"P. C. Tandy"
],
"categories": [
"nucl-th",
"hep-ex",
"hep-lat",
"hep-ph"
],
"doi": "10.1103/PhysRevC.70.035205",
"journal_ref": "Phys.Rev.C70:035205,2004",
"title": "Aspects and consequences of a dressed-quark-gluon vertex",
"url": "https://arxiv.org/abs/nucl-th/0403012"
},
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