Phase diagram of interacting pion matter and isospin charge fluctuations

Abstract

Equation of state and electric (isospin) charge fluctuations are studied for matter composed of interacting pions. The pion matter is described by self interacting scalar fields via a ${\varphi }^4-{\varphi }^6$ type Lagrangian. The mean-field approximation is used, and interaction parameters are fixed by fitting lattice QCD results on the isospin density as a function of the isospin chemical potential at zero temperature. Two scenarios for fixing the model parameters -- with and without the first order phase transition -- are considered, both yielding a satisfactory description of the lattice data. Thermodynamic functions and isospin charge fluctuations are studied and systematically compared for these two scenarios, yielding qualitative differences in the behavior of isospin charge susceptibilities. These differences can be probed by lattice simulations at temperatures $T\lesssim 100$ MeV.

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Cited by in corpus (4)

• Critical point and Bose-Einstein condensation in pion matter
• Quantum statistics effects near the critical point in systems with different inter-particle interactions
• Critical point influenced by Bose-Einstein condensation
• Particle-number fluctuations near the critical point of nuclear matter