Analysis of chiral and thermal susceptibilities

Abstract

We calculate the chiral and thermal susceptibilities for two confining Dyson-Schwinger equation models of QCD with two light flavours, a quantitative analysis of which yields the critical exponents, beta and delta, that characterise the second-order chiral symmetry restoration transition. The method itself is of interest, minimising the influence of numerical noise in the calculation of the order parameter for chiral symmetry breaking near the critical temperature. For the more realistic of the two models we find: T_c approx. 153 MeV, and the non-mean-field values: beta = 0.46 +/- 0.04, delta = 4.3 +/- 0.3 and 1/(beta delta)= 0.54 +/- 0.05, which we discuss in comparison with the results of other models.

arXiv comment19 pages, 5 figures, REVTEX

References in corpus (15)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• pi- and K-meson Bethe-Salpeter Amplitudes
• Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
• Hadron Physics from the Global Color Model of QCD
• Continuum study of deconfinement at finite temperature
• Thermodynamic properties of a simple, confining model
• A random matrix model for chiral symmetry breaking
• Model gluon propagator and pion and rho-meson observables
• Exclusive diffractive processes and the quark substructure of mesons
• Dynamical chiral symmetry breaking and confinement with an infrared-vanishing gluon propagator?
• Deconfinement at finite chemical potential
• The non-perturbative three-point vertex in massless quenched QED and perturbation theory constraints
• Thermodynamics using Wilson and Staggered Quarks
• Heavy- to light-meson transition form factors
• Calculating hadronic properties in strong QCD

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