The quark propagator at finite temperature

Abstract

We study the quark propagator at finite temperature on euclidean lattices in the Landau gauge, and compare the results to an 0(g 2) lattice weak coupling calculation. The screening mass obtained from spatial correlation functions in the chiral symmetric phase is close to the Matsubara frequency. The temporal correlation functions yield a much smaller screening mass, which approaches the perturbative result, m~ff= g2T2/6, for T 1.75 T~.Deviations from the perturbative behaviour are seen for T~T~1.75 T~. For T~T~,the screening masses from both spatial and temporal correlation functions are large and close to half the mass of the p-meson. Dispersion relations do not show any significant deviations from free particle behaviour.

Spatial dependence of meson correlation functions at high temperature

“…Consequently, the temporal screening mass in this channel is sensitive to changes in the in-medium quark mass [13].…”

Quark propagators in confinement and deconfinement phases

“…There are several lattice calculations of quark propagators [2,3,4,5,6,7,8]. In the confinement phase, the motivation to study quark propagators is whether infrared singularities exist or not in the momentum space.…”

Valence quarks in the QCD plasma: Quark number susceptibilities and screening

“…They have been explored earlier at finite lattice spacings, 1/4T -1/8T . Staggered quarks were used in 4 flavour [20], 2 flavour [12,21] and quenched [22,23,24] simulations. For reasons of symmetry a large degeneracy of screening masses, of the zero temperature scalar (S), pseudo-scalar (PS), and certain components of the vector (V) and axial-vector (AV) quark bilinears, is expected in the QCD plasma [27].…”