Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature

Abstract

The finite-temperature behavior of gluon and of Faddeev-Popov-ghost propagators is investigated for pure SU (2) Yang-Mills theory in Landau gauge. We present nonperturbative results, obtained using lattice simulations and Dyson-Schwinger equations. Possible limitations of these two approaches, such as finite-volume effects and truncation artifacts, are extensively discussed. Both methods suggest a very different temperature dependence for the magnetic sector when compared to the electric one. In particular, a clear thermodynamic transition seems to affect only the electric sector. These results imply in particular the confinement of transverse gluons at all temperatures and they can be understood inside the framework of the so-called Gribov-Zwanziger scenario of confinement.

SU(2) Landau Gluon Propagator Around Criticality

“…The momentum-space expressions for the transverse and longitudinal gluon propagators D T (p 2 ) and D L (p 2 ) can be found e.g. in [3].…”

“…Lattice studies of the Landau-gauge gluon propagator around the deconfinement phase transition in pure SU(2) and SU(3) theory, as well as considering dynamical quarks, have been presented in [3][4][5][6][7][8][9][10]. Our SU(2) study has been reported in [11][12][13][14][15].…”

Local QCD action at finite temperature

“…A number of authors have used the GZ action to extend our knowledge about finite-temperature Yang-Mills further into the non-perturbative regime [20][21][22]. Our perspective in light of the altered GZ action is that it is convenient to use Coulomb gauge.…”

An exploratory study of Yang-Mills three-point functions at non-zero temperature

“…They can be dealt with, for example, by using explicit additional renormalization conditions [31]. Calculations of the propagators can be found, e.g., in [31][32][33][34]. Here I aim at the calculation of three-point functions.…”