Nucleon properties in the quantized linear sigma model at finite temperature and chemical potential

A baryonic chemical potential (μb) is included in the linear sigma model at finite temperature. The effective mesonic potential is numerically calculated using the N-midpoint rule. The meson masses are investigated as functions of the temperature (T) at fixed value of baryonic chemical potential. The pressure and energy density are investigated as functions of temperature at fixed value of μb. The obtained results are in good agreement in comparison with other techniques. We conclude that the calculated effective potential successfully predicts the meson properties and thermodynamic properties at finite baryonic chemical potential.

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Using the Linear Sigma Model with quarks to describe the QCD phase diagram and to locate the critical end point

EPJ Web of Conferences ◽

10.1051/epjconf/201817208002 ◽

2018 ◽

Vol 172 ◽

pp. 08002

Author(s):

Alejandro Ayala ◽

Jorge David Castaño-Yepes ◽

José Antonio Flores ◽

Saúl Hernández ◽

Luis Hernández

Keyword(s):

Phase Diagram ◽

Critical Temperature ◽

Sigma Model ◽

Chemical Potential ◽

Linear Sigma Model ◽

Transition Line ◽

Baryon Chemical Potential ◽

First Order ◽

Qcd Phase Diagram ◽

Crossover Transition

We study the QCD phase diagram using the linear sigma model coupled to quarks. We compute the effective potential at finite temperature and quark chemical potential up to ring diagrams contribution. We show that, provided the values for the pseudo-critical temperature Tc = 155 MeV and critical baryon chemical potential μBc ≃ 1 GeV, together with the vacuum sigma and pion masses. The model couplings can be fixed and that these in turn help to locate the region where the crossover transition line becomes first order.

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Locating the critical end point using the linear sigma model coupled to quarks.

EPJ Web of Conferences ◽

10.1051/epjconf/201817202003 ◽

2018 ◽

Vol 172 ◽

pp. 02003

Author(s):

Alejandro Ayala ◽

J. A. Flores ◽

L. A. Hernández ◽

S. Hernández-Ortiz

Keyword(s):

Sigma Model ◽

Chemical Potential ◽

Potential Temperature ◽

Mean Field ◽

Field Approximation ◽

Baryon Density ◽

Linear Sigma Model ◽

Mean Field Approximation ◽

End Point ◽

The Mean

We use the linear sigma model coupled to quarks to compute the effective potential beyond the mean field approximation, including the contribution of the ring diagrams at finite temperature and baryon density. We determine the model couplings and use them to study the phase diagram in the baryon chemical potential-temperature plane and to locate the Critical End Point.

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SU(3) Polyakov linear-sigma model with finite isospin asymmetry: QCD phase diagram

International Journal of Modern Physics A ◽

10.1142/s0217751x19501999 ◽

2019 ◽

Vol 34 (31) ◽

pp. 1950199 ◽

Cited By ~ 2

Author(s):

Abdel Nasser Tawfik ◽

Abdel Magied Diab ◽

M. T. Ghoneim ◽

H. Anwer

Keyword(s):

Phase Structure ◽

Sigma Model ◽

Chemical Potential ◽

Mean Field ◽

Field Approximation ◽

Linear Sigma Model ◽

Dense Medium ◽

Mean Field Approximation ◽

Isospin Asymmetry ◽

Qcd Phase Diagram

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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PHASE TRANSITION PATTERNS OF NUCLEAR MATTER BASED ON EXTENDED LINEAR SIGMA MODEL

International Journal of Modern Physics E ◽

10.1142/s0218301313500778 ◽

2013 ◽

Vol 22 (11) ◽

pp. 1350077 ◽

Cited By ~ 2

Author(s):

TRAN HUU PHAT ◽

NGUYEN TUAN ANH ◽

PHUNG THI THU HA

Keyword(s):

Phase Transition ◽

Phase Transitions ◽

Nuclear Matter ◽

Degrees Of Freedom ◽

Sigma Model ◽

Chemical Potential ◽

Linear Sigma Model ◽

Baryon Chemical Potential ◽

Chiral Phase ◽

The Relationship

We study systematically various types of phase transitions in nuclear matter at finite temperature T and baryon chemical potential μ based on the extended linear sigma model with nucleon degrees of freedom. It is shown that there are three types of phase transitions in nuclear matter: the chiral symmetry nonrestoration (SNR) at high temperature, the well-known liquid–gas (LG) phase transition at sub-saturation density and the Lifshitz phase transition (LPT) from the fully-gapped state to the state with Fermi surface. Their phase diagrams are established in the (T, μ)-plane and their physical properties are investigated in detail. The relationship between the chiral phase transition and the LG phase transition in nuclear matter is discussed.

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