Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD

Abstract

The behavior of the Landau gauge gluon and ghost propagators is studied in pure $SU(3)$ gauge theory at nonzero temperature on the lattice. We concentrate on the momentum range (0.6, 2.0) GeV. For the longitudinal as well as for the transverse component of the gluon propagator we extract the continuum limit. We demonstrate the smallness of finite-size and Gribov-copy effects at temperatures close to the deconfinement phase transition at $T={T}_{c}$ and within the restricted range of momenta. Since the longitudinal component ${D}_{L}(q)$ turns out to be most sensitive with respect to the phase transition, we propose some combinations of ${D}_{L}(q)$ signaling the transition much like ``order parameters.''