Mean field exponents and small quark masses

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.

13 pages, 3 figures, REVTEX, epsfig

References in corpus (7)

• pi- and K-meson Bethe-Salpeter Amplitudes
• Hadron Physics from the Global Color Model of QCD
• The non-perturbative three-point vertex in massless quenched QED and perturbation theory constraints
• Infrared Behaviour of Propagators and Vertices
• Thermodynamics using Wilson and Staggered Quarks
• Critical region of the finite temperature chiral transition
• Analysis of chiral and thermal susceptibilities

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