Quark-hadron phase structure of QCD matter from SU(4) Polyakov linear sigma model

Abstract

Abstract. The SU(4) Polyakov linear sigma model (PLSM) is extended towards characterizing the chiral condensates, σ l , σ s and σ c of light, strange and charm quarks, respectively and the deconfinement order-parameters φ andφ at finite temperatures and densities (chemical potentials). The PLSM is considered to study the QCD equation of state in the presence of the chiral condensate of charm for different finite chemical potentials. The PLSM results are in a good agreement with the recent lattice QCD simulations. We conclude that, the charm condensate is likely not affected by the QCD phase-transition, where the corresponding critical temperature is greater than that of the light and strange quark condensates.

Non-extensive effects on the QCD equation of state and fluctuations of conserved charges within Polyakov quark meson model

“…However, the chiral condensate remains a valuable indicator of the chiral crossover. The validity of the PQM model has been confirmed through a series of works that involved comparisons with Lattice QCD simulations, for instance, [53][54][55][56], including the influence of the isospin asymmetry [57] and chiral magnetic effect [58][59][60][61][62][63]. Moreover, the Polyakov loop extended quark meson model containing vector and axial vector mesons [64] and large N c -limit [65].…”

Phase Diagram of Dense Two-Color QCD at Low Temperatures

“…One can check that this is the symmetry of the Lagrangian (9), and it can be used to construct the effective theory at nonzero chemical potential. To do this, we replace the usual derivatives with the covariant ones.…”

“…QCD is a very complicated, strongly correlated system, and the first-principles theoretical study of its properties is not possible today (the current status of different QCD studies can be found in the modern review [1]). Numerous theoretical works use some simplifying approximations, which lead to uncontrolled systematic uncertainties [1][2][3][4][5][6][7][8][9][10][11]. As a result, lattice simulation has become the most promising method for studying QCD.…”

Isospin Symmetry Breaking in Non-Perturbative QCD

“…The QCD-like effective models, such as the Ployakov linear-sigma model (PLSM), offer a complementary approach to the nonperturbative QCD [9][10][11][12]. The present script introduces a novel study suggesting first-principle derivations of a new set of PLSM parameters, namely, h 3 and barσ 3 the isospin sigma field.…”