Abstract
We discuss recent advances on QCD chiral symmetry restoration at finite temperature, within the theoretical framework of Effective Theories. $U(3)$ Ward Identities are derived between pseudoscalar susceptibilities and quark condensates, allowing to explain the behaviour of lattice meson screening masses. Unitarized interactions and the generated $f_0(500)$ thermal state are showed to play an essential role in the description of the transition through the scalar susceptibility
Highlights
We discuss recent advances on QCD chiral symmetry restoration at finite temperature, within the theoretical framework of Effective Theories
Within the O(4) pattern, χS (T ) and χP(T ) should become degenerate near the maximum of χS (T ). This is the case in the lattice, as can be seen from figure 1, where we show lattice data from [8] for χS and the ratio of subtracted quark condensates ∆l,s, which through the Ward identities explained in Sect. 3, has the same temperature dependence as χP(T )/χP(0) [4]
Since we are working in the chiral limit, the susceptibility is expected to diverge at Tc within a second-order phase transition regime and so it does, with MS2 (T ) vanishing at the Tc values given in the figure
Summary
f0(500) state for the description of the scalar susceptibility [4]. Finally, recent analysis within the large number of Nambu-Goldstone Bosons (NGB) framework [6, 7] will be presented in Sect. 5.
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