QCD Phase Structure and In-Medium Modifications of Meson Masses in Polyakov Linear-Sigma Model with Finite Isospin Asymmetry †.

In the QCD-like effective model, the Polyakov linear-sigma model, the isospin sigma field ( σ ¯ 3 = f K ± − f K 0 ) and the third generator of the matrix of the explicit symmetry breaking [ h 3 = m a 0 2 f K ± − f K 0 ] are estimated in terms of the decay constants of the neutral ( f K 0 ) and charged Kaon ( f K ± ) and the mass of a 0 meson. Both quantities σ ¯ 3 and h 3 are then evaluated, at finite baryon ( μ B ), isospin chemical potential ( μ I ), and temperature (T). Thereby, the dependence of the critical temperature on isospin chemical potential could be mapped out in the ( T − μ I ) phase diagram In the QCD-like effective model, the Polyakov linear-sigma model, the isospin sigma field ( σ ¯ 3 = f K ± − f K 0 ) and the third generator of the matrix of the explicit symmetry breaking [ h 3 = m a 0 2 f K ± − f K 0 ] are estimated in terms of the decay constants of the neutral ( f K 0 ) and charged Kaon ( f K ± ) and the mass of a 0 meson. Both quantities σ ¯ 3 and h 3 are then evaluated, at finite baryon ( μ B ), isospin chemical potential ( μ I ), and temperature (T). Thereby, the dependence of the critical temperature on isospin chemical potential could be mapped out in the ( T − μ I ) phase diagram. The in-medium modifications of pseudoscalars ( J p c = 0 − + ), scalars ( J p c = 0 + + ), vectors ( J p c = 1 − − ), and axial-vectors ( J p c = 1 + + ) meson states are then analyzed in thermal and dense medium. We conclude that the QCD phase diagram ( T − μ I ) is qualitatively similar to the ( T − μ B ) phase diagram. We also conclude that both temperature and isospin chemical potential enhance the in-medium modifications of the meson states a 0 , σ , η ′ , π , f 0 , κ , η , K, ρ , ω , κ * , ϕ , a 1 , f 1 , K * , and f 1 * . Regarding their chemical potential, at high temperatures the various meson states likely dissolve into colored partonic phase. In this limit, the meson masses form a universal bundle. Thus, we conclude that the increase in the chemical potential similar to temperature derives the colorless confined meson states into the colored deconfined parton phase. [ABSTRACT FROM AUTHOR]