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.

13 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

References in corpus (30)

• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• SU(N) gauge theories at large N
• Chiral symmetry breaking in continuum QCD
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Phase structure of three and four flavor QCD
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• Deconfinement in dense 2-color QCD
• Exceptional Deconfinement in G(2) Gauge Theory
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Towards the phase diagram of dense two-color matter
• Dual quark condensate and dressed Polyakov loops
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• The quark-gluon vertex in Landau gauge bound-state studies
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Color-superconductivity in the strong-coupling regime of Landau gauge QCD
• Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• Universal Aspects of QCD-like Theories
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• G_2 gauge theory at finite temperature
• The phase diagram of a gauge theory with fermionic baryons
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• Spurious divergences in Dyson-Schwinger equations
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• Infrared features of unquenched finite temperature lattice Landau gauge QCD
• Adjoint quarks and fermionic boundary conditions
• Topological aspects of G2 Yang-Mills theory
• Density-of-states
• Exploratory study of the temperature dependence of magnetic vertices in SU(2) Landau gauge Yang--Mills theory
• What we can learn from two-dimensional QCD-like theories at finite density