21-25 March 2022
Salon de actos del IATA
Europe/Madrid timezone

Thermal resonances and chiral symmetry restoration.

Not scheduled
Salon de actos del IATA

Salon de actos del IATA

Carrer del Catedràtic Agustín Escardino Benlloch, 7, 46980 Paterna, Valencia


Andrea Vioque-Rodríguez (Universidad Complutense de Madrid)


We analize the role played by the thermal $f_0(500)$ state or $\sigma$ in chiral symmetry restoration and propose an alternative sector (related with the thermal $K_0^*(700)$ or $\kappa$) to study $O(4)\times U_A(1)$ restoration. The temperature corrections to the spectral properties of those states are included in order to provide a better description of the scalar susceptibilities $\chi_S$ and $\chi_S^{\kappa}$ around the transition region. We use the Linear Sigma Model to establish the relation between $\chi_S$ and the $\sigma$ propagator, which is used as a benchmark to test the approach where $\chi_S$ is saturated by the $f_0(500)$ inverse self-energy. Within such saturation approach, a peak for $\chi_S$ around the chiral transition is obtained when considering the $f_0(500)$ generated as a $\pi\pi$ scattering pole within Unitarized Chiral Perturbation Theory at finite temperature. On the other hand, we show, using Ward Identities, that $\chi_S^{\kappa}$ develops a maximum above the QCD chiral transition, above which it degenerates with $\chi_{P}^{K}$ in the $O(4)\times U_A(1)$ restoration region. Such $\chi_S^{\kappa}$ peak can be described when it is saturated with the $K_0^*(700)$, which we compute in Unitarized Chiral Perturbation Theory through $\pi K$ scattering at finite temperature. That approach allows us in addition to examine the $\chi_S^{\kappa}$ dependence on the light- and strange-quark masses. Finally, a comparison with the Hadron Resonance Gas is also studied in this context.

Primary authors

Andrea Vioque-Rodríguez (Universidad Complutense de Madrid) Prof. Angel Gómez Nicola (Universidad Complutense de Madrid) Dr. Jacobo Ruiz de Elvira Silvia Ferreres-Solé

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