Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
arXiv:1003.1960 · doi:10.1140/epjc/s10052-010-1343-1
Abstract
We study a gauge invariant order parameter for deconfinement and the chiral condensate in SU(2) and SU(3) Yang-Mills theory in the vicinity of the deconfinement phase transition using the Landau gauge quark and gluon propagators. We determine the gluon propagator from lattice calculations and the quark propagator from its Dyson-Schwinger equation, using the gluon propagator as input. The critical temperature and a deconfinement order parameter are extracted from the gluon propagator and from the dependency of the quark propagator on the temporal boundary conditions. The chiral transition is determined using the quark condensate as order parameter. We investigate whether and how a difference in the chiral and deconfinement transition between SU(2) and SU(3) is manifest.
15 pages, 9 figures. For clarification one paragraph and two references added in the introduction and two sentences at the end of the first and last paragraph of the summary. Appeared in EPJC
References in corpus (21)
- The order of the quantum chromodynamics transition predicted by the standard model of particle physics
- The QCD transition temperature: results with physical masses in the continuum limit
- The QCD transition temperature: results with physical masses in the continuum limit II.
- Infrared Properties of QCD from Dyson-Schwinger equations
- Renormalization Group Approach towards the QCD Phase Diagram
- Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
- Dual quark condensate and dressed Polyakov loops
- Chiral and deconfinement transition from Dyson-Schwinger equations
- Linking confinement to spectral properties of the Dirac operator
- Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
- Beyond the rainbow: effects from pion back-coupling
- More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
- Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
- Complete spectra of the Dirac operator and their relation to confinement
- Relation between chiral symmetry breaking and confinement in YM-theories
- Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
- Electric-magnetic asymmetry of the A^2 condensate and the phases of Yang-Mills theory
- A first look at Landau-gauge propagators in G2 Yang-Mills theory
- Finite-temperature chiral condensate and low-lying Dirac eigenvalues in quenched SU(2) lattice gauge theory
- Adjoint quarks and fermionic boundary conditions
- The asymmetry of the dimension 2 gluon condensate: the zero temperature case