Calculating the critical exponents of the chiral phase transition

P. Maris

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Calculating the critical exponents of the chiral phase transition

P. Maris

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Abstract

We calculate the critical exponents of the chiral phase transition at nonzero temperature using the thermal and chiral susceptibilities. We show that within a class of confining Dyson-Schwinger equation (DSE) models the transition is mean field, and that an accurate determination of the critical exponents requires extremely small values of the current-quark mass, several order of magnitude smaller than realistic up- and down-quark masses. In general, rainbow truncation models of QCD exhibit mean field exponents as a result of the gap equation's fermion substructure.

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P. Maris. 1999-08-23. Calculating the critical exponents of the chiral phase transition. https://arxiv.org/abs/nucl-th/9908069

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