Speaker
Description
We review recent progress towards the understanding of the QCD phase diagram using tools based on effective theories, Ward Identities (WI) and resonances at finite temperature and chemical potentials.
Various relevant observables such as scalar and topological susceptibilities can be obtained within this framework and are consistent with recent lattice analyses. In particular, we show that for the isospin channels $I=0$ and $I=1/2$, the $f_0(600)/\sigma$ and the $K_0^* (700)/\kappa$ thermal resonances, generated respectively from $\pi\pi$ and $\pi K$ scattering at finite temperature, are essential to describe chiral symmetry and $U(1)_A$ restoration of scalar and pseudoscalar susceptibilities consistently both with lattice and WI. In turn, WI imply scaling laws around $T_c$ which can be checked with lattice screening masses.
This approach allows to control in a systematic and consistent way the dependence on temperature, quark masses and strangeness. We have also derived novel results for effective theories at nonzero isospin density and nonzero chiral imbalance.
