Mean field exponents and small quark masses

Details Mean field exponents and small quark masses Mean field exponents and small quark masses

1998-08-31

arxiv.org/abs/nucl-th/9808076v1

Phys.Rev.C59:1751-1755,1999

Physics

Nuclear Physics

Nuclear Theory

13 pages, 3 figures, REVTEX, epsfig

Scientific paper

10.1103/PhysRevC.59.1751

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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