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Role of the thermal f0(500) in chiral symmetry restoration
Ist Teil von
Physical review. D, 2019-02, Vol.99 (3), p.1
Ort / Verlag
College Park: American Physical Society
Erscheinungsjahr
2019
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
We show that the σ/f0(500) state with finite-temperature T corrections to its spectral properties included plays an essential role for the description of the scalar susceptibility χS, signaling chiral symmetry restoration. First, we use the O(4) linear sigma model as a test bed to derive the connection between χS and the σ propagator and to check the validity and reliability of the approach where χS is saturated by the σ/f0(500) inverse self-energy, which we calculate at finite T to one loop. A more accurate phenomenological description is achieved by considering the saturation approach as given by the thermal f0(500) state generated in unitarized chiral perturbation theory (UChPT). Such an approach allows us to describe fairly well recent lattice data within the uncertainty range given by the UChPT parameters. Finally, we compare the UChPT saturated description with one based on the hadron resonance gas, for which the hadron mass dependences are extracted from recent theoretical analysis. Several fits to lattice data are performed and confirm the validity of the thermal f0(500) saturated approach and hence the importance of that thermal state for chiral symmetry restoration.