dorsal/arxiv
View SchemaSchwinger functions and light-quark bound states, and sigma terms
| Authors | A. Hoell, P. Maris, C. D. Roberts, S. V. Wright |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0512048 |
| URL | https://arxiv.org/abs/nucl-th/0512048 |
| DOI | 10.1016/j.nuclphysbps.2006.08.010 |
| Journal | Nucl.Phys.Proc.Suppl.161:87-94,2006 |
Abstract
We explore the viability of using solely spacelike information about a Schwinger function to extract properties of bound states. In a concrete example it is not possible to determine properties of states with masses \gsim 1.2 GeV. Modern Dyson-Schwinger equation methods supply a well-constrained tool that provide access to hadron masses and \sigma-terms. We report values of the latter for a range of hadrons. Of interest is analysis relating to a u,d scalar meson, which is compatible with a picture of the lightest 0^{++} as a bound state of a dressed-quark and -antiquark supplemented by a material pion cloud. A constituent-quark \sigma-term is defined, which affords a means for assessing the flavour-dependence of dynamical chiral symmetry breaking.
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"abstract": "We explore the viability of using solely spacelike information about a\nSchwinger function to extract properties of bound states. In a concrete example\nit is not possible to determine properties of states with masses \\gsim 1.2 GeV.\nModern Dyson-Schwinger equation methods supply a well-constrained tool that\nprovide access to hadron masses and \\sigma-terms. We report values of the\nlatter for a range of hadrons. Of interest is analysis relating to a u,d scalar\nmeson, which is compatible with a picture of the lightest 0^{++} as a bound\nstate of a dressed-quark and -antiquark supplemented by a material pion cloud.\nA constituent-quark \\sigma-term is defined, which affords a means for assessing\nthe flavour-dependence of dynamical chiral symmetry breaking.",
"arxiv_id": "nucl-th/0512048",
"authors": [
"A. Hoell",
"P. Maris",
"C. D. Roberts",
"S. V. Wright"
],
"categories": [
"nucl-th",
"hep-lat",
"hep-ph"
],
"doi": "10.1016/j.nuclphysbps.2006.08.010",
"journal_ref": "Nucl.Phys.Proc.Suppl.161:87-94,2006",
"title": "Schwinger functions and light-quark bound states, and sigma terms",
"url": "https://arxiv.org/abs/nucl-th/0512048"
},
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