dorsal/arxiv
View SchemaMean field exponents and small quark masses
| Authors | Arne Hoell, Pieter Maris, Craig D. Roberts |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9808076 |
| URL | https://arxiv.org/abs/nucl-th/9808076 |
| DOI | 10.1103/PhysRevC.59.1751 |
| Journal | Phys.Rev.C59:1751-1755,1999 |
Abstract
We demonstrate that the restoration of chiral symmetry at finite-T in a class of confining Dyson-Schwinger equation (DSE) models of QCD is a mean field transition, and that an accurate determination of the critical exponents using the chiral and thermal susceptibilities requires very small values of the current-quark mass: log_{10}(m/m_u) < -5. Other classes of DSE models characterised by qualitatively different interactions also exhibit a mean field transition. Incipient in this observation is the suggestion that mean field exponents are a result of the gap equation's fermion substructure and not of the interaction.
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"abstract": "We demonstrate that the restoration of chiral symmetry at finite-T in a class\nof confining Dyson-Schwinger equation (DSE) models of QCD is a mean field\ntransition, and that an accurate determination of the critical exponents using\nthe chiral and thermal susceptibilities requires very small values of the\ncurrent-quark mass: log_{10}(m/m_u) \u003c -5. Other classes of DSE models\ncharacterised by qualitatively different interactions also exhibit a mean field\ntransition. Incipient in this observation is the suggestion that mean field\nexponents are a result of the gap equation\u0027s fermion substructure and not of\nthe interaction.",
"arxiv_id": "nucl-th/9808076",
"authors": [
"Arne Hoell",
"Pieter Maris",
"Craig D. Roberts"
],
"categories": [
"nucl-th",
"hep-lat",
"hep-ph"
],
"doi": "10.1103/PhysRevC.59.1751",
"journal_ref": "Phys.Rev.C59:1751-1755,1999",
"title": "Mean field exponents and small quark masses",
"url": "https://arxiv.org/abs/nucl-th/9808076"
},
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