Abstract
The thermodynamic bag model (tdBag) has been applied widely to model quark matter properties in both heavy-ion and astrophysics communities. Several fundamental physics aspects are missing in tdBag, e.g., dynamical chiral symmetry breaking (D$\chi$SB) and repulsions due to the vector interaction are both included explicitly in the novel vBag quark matter model of Kl\"ahn and Fischer (2015) (Astrophys. J. 810, 134 (2015)). An important feature of vBag is the simultaneous D$\chi$SB and deconfinement, where the latter links vBag to a given hadronic model for the construction of the phase transition. In this article we discuss the extension to finite temperatures and the resulting phase diagram for the isospin symmetric medium.
Highlights
The theory of strong interactions, i.e. Quantum Chromodynamics (QCD), considers hadrons and mesons as color neutral compound objects of quarks and gluons
Several fundamental physics aspects are missing in thermodynamic bag model (tdBag), e.g., dynamical chiral symmetry breaking (DχSB) and repulsions due to the vector interaction are both included explicitly in the novel vBag quark matter model of Klahn and Fischer (2015)
Refs. [4,5, 6,7] and references therein). It is in qualitative agreement with heavy-ion collision experiments [8]. In the latter at moderate and low collision energies one encounters finite chemical potentials and high temperatures which are currently inaccessible for lattice QCD
Summary
The theory of strong interactions, i.e. Quantum Chromodynamics (QCD), considers hadrons and mesons as color neutral compound objects of quarks and gluons. For μB < μB,χ we assume that quarks are confined in hadrons and mesons which are not accessible for vBag. The chiral phase transition and the corresponding critical chemical potential μB,χ is defined by the value of the chiral bag constant Bχ,f in (2) and (3), demanding that at μB = μB,χ, the total pressure turns positive. In order to cure this inconsistency vBag accounts for simultaneous chiral symmetry breaking and confinement at μB,χ = μB,dc by adding the deconfinement bag constant Bdc to the total quark pressure as follows,. Note that in analogy to the temperature arbitrary isospin asymmetry and the associated charge chemical potential, μC = μu − μd, induces additional corrections of Bdc to the EoS This dependence and the corresponding deconfinement terms have been derived and discussed in details in Ref.
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