Pseudoscalar Meson Nonet at Zero and Finite Temperature

Abstract

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.

14 pages, 11 figures, accepted for publication in Physics of Particles and Nuclei Letters, based on invited lectures at "Dense Matter In Heavy Ion Collisions and Astrophysics", 21.08-01.09 2006, Dubna, Russia

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• Analytical properties of the quark propagator from truncated Dyson-Schwinger equation in complex Euclidean space
• Width of the QCD transition in a Polyakov-loop DSE model
• Accounting for the analytical properties of the quark propagator from Dyson-Schwinger equation
• The QCD chiral transition temperature in a Dyson-Schwinger-equation context
• Medium induced Lorentz symmetry breaking effects in nonlocal PNJL models
• Heavy pseudoscalar mesons in a Schwinger-Dyson--Bethe-Salpeter approach
• ${\eta }^{\prime }$ and $\eta$ mesons at high T when the U_A(1) and chiral symmetry breaking are tied
• Temperature Dependence of the Axion Mass in a Scenario Where the Restoration of Chiral Symmetry Drives the Restoration of the $U_A(1)$ Symmetry
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation
• Temperature dependence of Quark and Gluon condensate In The Dyson-Schwinger Equations At Finite Temperature
• A Dyson-Schwinger model beyond isospin limit prepared for investigating U_A(1)-breaking temperature dependence
• Aspects of model dependence of eta'-eta complex treated by going beyond the isospin limit