Neutrality Effects on the Phase Structure of the Linear Sigma Model with the Non-standard Symmetry Breaking

The SU(3) Polyakov linear-sigma model (PLSM) in mean-field approximation is utilized in analyzing the chiral condensates [Formula: see text], [Formula: see text], [Formula: see text] and the deconfinement order parameters [Formula: see text], [Formula: see text], at finite isospin asymmetry. The bulk thermodynamics including pressure density, interaction measure, susceptibility and second-order correlations with baryon, strange and electric charge quantum numbers are studied in thermal and dense medium. The PLSM results are confronted to the available lattice quantum chromodynamics (QCD) calculations. The excellent agreement obtained strengthens the reliability of fixing the PLSM parameters and therefore supports further predictions even beyond the scope of the lattice QCD numerical applicability. From the QCD phase structure at finite isospin chemical potential [Formula: see text], we find that the pseudocritical temperatures decrease with the increase in [Formula: see text]. We conclude that the QCD phase structure in [Formula: see text] plane seems to extend the one in [Formula: see text] plane.

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Chiral phase structure of the sixteen meson states in the SU (3) Polyakov linear-sigma model for finite temperature and chemical potential in a strong magnetic field

Chinese Physics C ◽

10.1088/1674-1137/43/3/034103 ◽

2019 ◽

Vol 43 (3) ◽

pp. 034103 ◽

Cited By ~ 4

Author(s):

Abdel Nasser Tawfik ◽

Abdel Magied Diab ◽

M.T. Hussein

Keyword(s):

Magnetic Field ◽

Strong Magnetic Field ◽

Finite Temperature ◽

Phase Structure ◽

Sigma Model ◽

Chemical Potential ◽

Linear Sigma Model ◽

Chiral Phase ◽

Meson States

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MASS RELATIONS OF NUCLEONS AND MESONS UNDER SU(2) SYMMETRY BREAKING IN A GAUGED LINEAR SIGMA MODEL

Modern Physics Letters A ◽

10.1142/s0217732310032184 ◽

2010 ◽

Vol 25 (01) ◽

pp. 25-33 ◽

Cited By ~ 1

Author(s):

MYUNG-KI CHEOUN ◽

C. Y. RYU

Keyword(s):

Symmetry Breaking ◽

Sigma Model ◽

Chiral Symmetry Breaking ◽

Linear Sigma Model ◽

Neutral Meson ◽

Isospin Symmetry ◽

Electromagnetic Interactions ◽

Charged Meson ◽

Isospin Symmetry Breaking ◽

Gauged Linear Sigma Model

We evaluate mass differences between a neutron and a proton, and between a charged and a neutral meson by using a gauged linear sigma model retaining the chiral SU (2) L × SU (2) R × U (1)V symmetry. Masses of nucleons and relevant mesons are generated through the spontaneous and the explicit chiral symmetry breaking. Since our Lagrangian includes explicitly SU(2) isospin symmetry breaking term, it enables us to simultaneously consider the mass differences of a neutron and a proton, and a charged meson and a neutral one. Their reciprocal relations of the mass differences are also derived, where radiative corrections due to electromagnetic interactions are deliberately taken into account to exactly obtain the isospin symmetry breaking effect in the particle mass differences.

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