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Mean field exponents and small quark masses

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arxiv nucl-th/9808076 v1 pith:R5KVHLCX submitted 1998-08-31 nucl-th hep-lathep-ph

classification nucl-thhep-lathep-ph
keywords fieldmeanexponentschiralequationmodelssmalltransition
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 1 Pith paper

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  1. Scaling functions in the soft-wall AdS/QCD models

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Soft-wall AdS/QCD models reproduce mean-field chiral scaling functions and follow a T_c scaling law whose slope, tuned by a modified potential, can approach Dyson-Schwinger results.

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