Pseudoscalar meson nonet at zero and finite temperature

Theoretical understanding of experimental results from relativistic heavy-ion collisions requires a microscopic approach to the behavior of QCD n-point functions at finite temperatures, as given by the hierarchy of Dyson-Schwinger equations, properly generalized within the Matsubara formalism. The convergence of sums over Matsubara modes is studied. The technical complexity of finite-temperature calculations mandates modeling. We present a model where the QCD interaction in the infrared, nonperturbative domain is modeled by a separable form. Results for the mass spectrum of light quark flavors ( u, d, s ) and for the pseudoscalar bound-state amplitudes at finite temperature are presented.