The extended quark sigma model at finite temperature and baryonic chemical potential

2013 ◽  
Vol 10 (7) ◽  
pp. 683-692 ◽  
Author(s):  
M. Abu-Shady ◽  
M. Soleiman
Keyword(s):  
Finite Temperature ◽  
Sigma Model ◽  
Chemical Potential ◽  
Baryonic Chemical Potential

scholarly journals Linear Sigma Model at Finite Temperature and Baryonic Chemical Potential Using the N-Midpoint Technique

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
M. Abu-Shady
Keyword(s):  
Energy Density ◽  
Thermodynamic Properties ◽  
Effective Potential ◽  
Finite Temperature ◽  
Sigma Model ◽  
Chemical Potential ◽  
Linear Sigma Model ◽  
Midpoint Rule ◽  
Baryonic Chemical Potential ◽  
Good Agreement

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 fi…xed 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.

Chiral logarithmic sigma model at finite temperature and baryonic chemical potential

2014 ◽  
Vol 29 (34) ◽  
pp. 1450176 ◽  
Author(s):  
M. Abu-Shady
Keyword(s):  
Phase Transition ◽  
Critical Temperature ◽  
Sigma Model ◽  
Present Model ◽  
Chemical Potential ◽  
Logarithmic Potential ◽  
Chiral Phase ◽  
Baryonic Chemical Potential ◽  
Breaking Symmetry ◽  
Good Agreement

A logarithmic potential is suggested to study the chiral phase transition, the critical temperature, and the meson masses at finite temperature and baryonic chemical potential. The logarithmic potential is based on some aspects of quantum chromodynamics (QCD) theory. The model has been solved in the mean-field approximation. We found that the behavior of meson masses takes a similar behavior as in the original sigma model and the Nambu–Jona-Lasinio model. The critical temperature is reduced in comparison with the original sigma model and it is in good agreement with recent lattice QCD results. The chiral phase transition is crossover in the case of chiral explicit breaking symmetry. The Goldstone boson theorem is studied, in which the meson mass is massive and pion mass is massless at lower temperatures. Our conclusions indicate to the present model successfully predicts the phase transition as well as in the original quark sigma model and the Nambu–Jona–Lasinio model. A new advantage of the present model, the critical temperature is in good agreement with lattice QCD results at zero chemical potential. A condition of spontaneous breaking symmetry is necessary to satisfy the Goldstone theorem in the chiral limit.

scholarly journals Finite Temperature QCD Sum Rules: A Review

2017 ◽  
Vol 2017 ◽  
pp. 1-24 ◽  
Author(s):  
Alejandro Ayala ◽  
C. A. Dominguez ◽  
M. Loewe
Keyword(s):  
Finite Temperature ◽  
Chemical Potential ◽  
Sum Rules ◽  
Light Quark ◽  
Axial Vector ◽  
Heavy Ion ◽  
Qcd Sum Rules ◽  
Rho Meson ◽  
Ion Collisions ◽  
Rule Method

The method of QCD sum rules at finite temperature is reviewed, with emphasis on recent results. These include predictions for the survival of charmonium and bottonium states, at and beyond the critical temperature for deconfinement, as later confirmed by lattice QCD simulations. Also included are determinations in the light-quark vector and axial-vector channels, allowing analysing the Weinberg sum rules and predicting the dimuon spectrum in heavy-ion collisions in the region of the rho-meson. Also, in this sector, the determination of the temperature behaviour of the up-down quark mass, together with the pion decay constant, will be described. Finally, an extension of the QCD sum rule method to incorporate finite baryon chemical potential is reviewed.

scholarly journals Thermal operator and cutting rules at finite temperature and chemical potential

2006 ◽  
Vol 74 (8) ◽  
Author(s):  
F. T. Brandt ◽  
Ashok Das ◽  
Olivier Espinosa ◽  
J. Frenkel ◽  
Silvana Perez
Keyword(s):  
Finite Temperature ◽  
Chemical Potential
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