$\eta$ and $\eta'$ mesons in the Dyson-Schwinger approach at finite temperature

Understand

We study the temperature dependence of the pseudoscalar meson properties in a relativistic bound-state approach exhibiting the chiral behavior mandated by QCD.

• Concretely, we adopt the Dyson-Schwinger approach with a rank-2 separable model interaction.
• After extending the model to the strange sector and fixing its parameters at zero temperature, T=0, we study the T-dependence of the masses and decay constants of all ground-state mesons in the pseudoscalar nonet.
• Of chief interest are $\eta$ and $\eta^\prime$.