Interplay between chiral dynamics and repulsive interactions in hot hadronic matter

Abstract

We explore fluctuations of the net-baryon number density in hadronic matter at vanishing chemical potential. We discuss the interplay between chiral dynamics and repulsive interactions and their influence on the properties of these fluctuations near the chiral crossover in the parity doublet model. We find that the characteristic properties of cumulants are entirely linked to the critical chiral dynamics and cannot be reproduced in phenomenological models, which account only for repulsive interactions. Consequently, a description of the higher-order cumulants of the netbaryon density requires a self-consistent treatment of the chiral in-medium effects and repulsive interactions.

Chiral criticality and the role of repulsive interactions in hot hadronic matter

“…To investigate the properties of strongly-interacting matter, we use the parity doublet model [11,12,13]. The mean-field thermodynamic potential of the parity doublet model reads [27]…”

“…Its negative parity partner is identified with N(1535). In this work, we adopt the parametrization from [27] and analyze the contribution to thermodynamics from chiral dynamics and repulsive interactions. To this end, we analyze the fluctuations of the net-baryon number at finite temperature and vanishing chemical potential.…”

“…(2.1)), thus n B = n B (T, µ B , σ (T, µ B ), ω(T, µ B )). The second-order cumulant at vanishing chemical potential has the form [27]:…”

“…In this contribution based on [27], we analyze the qualitative properties and systematics of the fluctuations of the net-baryon number density and the higher-order cumulants in the parity doublet model. It is systematically examined to what extent their thermal behavior is dominated by the chiral criticality, and separately is originating from hadronic repulsive interactions.…”

Reconciling multi-messenger constraints with chiral symmetry restoration

“…Such properties of the chiral partners can be described in the framework of the parity doublet model [23][24][25]. The model has been applied to hot and dense hadronic matter, neutron stars (see, e.g, [26][27][28][29][30][31][32][33][34][35][36][37][38]).…”