Mesonic screening masses at high temperature and finite density

Abstract

We compute the first perturbative correction to the static correlation lengths of light quark bilinears in hot QCD with finite quark chemical potentials. The correction is small and positive, with µ-dependence depending on the relative sign of chemical potentials and the number of dynamical flavors. The computation is carried out using a three-dimensional effective theory for the lowest fermionic Matsubara mode. We also compute the full correlator in free theory and find a rather complicated general µ-dependence at shorter distances. Finally, rough comparisons with lattice simulations are discussed.

Robust approach to thermal resummation: Standard Model meets a singlet

“…Concretely, the phase transition thermodynamics is determined by Monte Carlo lattice simulations [105,106] of dimensionally reduced high-temperature effective field theories (3d EFT). Originally established for non-Abelian gauge theories [107][108][109][110], the formalism was generalised in the mid-1990s [111] and simultaneously successful in hot QCD [112][113][114][115][116][117][118][119][120][121][122][123][124] as reviewed in [125].…”

On the smallest screening masses in hot QCD

“…The situation is quite similar to that in the case of the screening masses of fermionic bilinears, which we have studied previously in refs. [18,19]. The two adjoint scalar fields form a bound state, and a formal scale hierarchy exists between the heavy scalar mass, m E ; the relative momentum between the bound state constituents, p ∼ (g 2 E m E /π) 1 2 ; and the binding energy, ∆E ∼ g 2 E /π, such that p 2 /m E ∼ ∆E (logarithms and numerical factors have been omitted; note that in terms of the four-dimensional coupling the scales are separated only by ∼ (g/π) 1/2 ).…”

Meson spectral function and screening masses in magnetized quark gluon plasma

“…Spectral densities of correlation functions encode information of inmedium hadron properties, transport coefficients and electromagnetic emissivity from the hot and dense plasma. Mesonic spectral functions at finite temperature have been calculated in the literature using analytic methods [21][22][23][24][25] or numerical simulations of lattice QCD [26][27][28][29]. Hadronic correlators in a background magnetic field have also been studied in different settings, see [30][31][32][33][34][35][36][37][38] for latest development in the field.The purport of the present paper is to discuss the modification of mesonic spectral densities in the high temperature deconfined phase of QCD.…”