We use recently derived Ward identities and lattice data for the light- and strange-quark condensates to reconstruct the scalar and pseudoscalar susceptibilities ( , ) in the isospin 1/2 channel. We show that develops a maximum above the QCD chiral transition, after which it degenerates with . We also obtain within Unitarized Chiral Perturbation Theory (UChPT) at finite temperature, when it is saturated with the (or ) meson, the dominant lowest-energy state in the isospin 1/2 scalar channel of scattering. Such UChPT result reproduces the expected peak structure, revealing the importance of thermal interactions, and makes it possible to examine the dependence on the light- and strange-quark masses. A consistent picture emerges controlled by the ratio that allows one studying degeneration in the chiral, two-flavor and (3) limits. These results provide an alternative sign for restoration that can be explored in lattice simulations and highlight the role of strangeness, which regulated by the strange-quark condensate helps to reconcile the current tension among lattice results regarding restoration.
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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550669 | PMC |
http://dx.doi.org/10.1140/epjc/s10052-021-09458-1 | DOI Listing |
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