Bulk viscosity in strong and electroweak matter

Abstract

For temperatures [Formula: see text] ranging from a few MeV up to TeV and energy density [Formula: see text] up to [Formula: see text][Formula: see text]GeV/fm3, the bulk viscosity [Formula: see text] is calculated in nonperturbation (up, down, strange, charm and bottom) and perturbation theories with up, down, strange, charm, bottom and top quark flavors, at vanishing baryon-chemical potential. To these calculations, results deduced from the effective QCD-like model, the Polyakov linear-sigma model (PLSM), are also integrated in. The PLSM merely comes up with essential contributions for the vacuum and thermal condensations of the gluons and the quarks (up, down, strange and charm flavors). Furthermore, the thermal contributions of the photons, neutrinos, charged leptons, electroweak particles and scalar Higgs boson are found very significant along the entire range of [Formula: see text] and [Formula: see text] and therefore could be well integrated in. We present the dimensionless quantity [Formula: see text], where [Formula: see text] is a perturbative scale and [Formula: see text] is the entropy density and conclude that [Formula: see text] exponentially decreases with increasing [Formula: see text]. We also conclude that the resulting [Formula: see text] with the nonperturbative and perturbative QCD contributions nonmonotonically increases with increasing [Formula: see text]. But with nearly-entire standard model contributions considered in this study, [Formula: see text] almost-linearly increases with increasing of [Formula: see text]. Apparently, these results offer a great deal to explore in astrophysics, cosmology and nuclear collisions.