Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
arXiv:hep-lat/9406008 · doi:10.1103/PhysRevD.50.6954
Abstract
We study the quark mass dependence of various response functions, which contribute to chiral susceptibilities and the specific heat in the staggered fermion formulation of two-flavour QCD. This yields information about the critical exponents , and . In the case of the chiral susceptibility, obtained as derivative of the chiral order parameter with respect to the quark mass, we calculate all contributions. This allows to construct a cumulant of the order parameter, which is a scaling function and yields a direct determination of the critical exponent . All our results are consistent with a second order phase transition.
16 pages (TeX file) + 7 figures (appended as ps-files), uuencoded, Bielefeld preprint, BI-TP 94/29, June 1994
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Cited by in corpus (156)
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