Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories

Abstract

We investigate the universality of truncation schemes for Dyson-Schwinger equations developed for quantum chromodynamics in theories which differ from quantum chromodynamics only in the gauge group. Our specific choices are the gauge groups $SU(2)$ and $G_2$, for which lattice calculations at nonvanishing chemical potential are possible. Thus, corresponding calculations can provide benchmarks for testing calculations with functional equations. We calculate the quark and gluon propagators and determine the chiral and dual chiral condensates at vanishing density to determine the confinement/deconfinement and chiral transitions, respectively. We can reproduce the expected type of transitions in the quenched and unquenched cases. In general, all three theories react very similarly to modifications of the employed model for the quark-gluon vertex.

arXiv comment13 pages, 12 figs; v3: corresponds to published version; added figure of quark mass, updated numbers for transition temperatures based on an improved interpolation in temperature, adapted quark masses to match lattice calculations

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