scholarly journals Two-particle irreducible finite temperature effective potential of theO(N)linear sigma model in1+1dimensions at next-to-leading order of1/N

2004 ◽  
Vol 70 (8) ◽  
Author(s):  
Jürgen Baacke ◽  
Stefan Michalski
Keyword(s):  
Effective Potential ◽  
Finite Temperature ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Leading Order

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.

scholarly journals APPROACH TO D-DIMENSIONAL GROSS–NEVEU MODEL AT FINITE TEMPERATURE AND CURVATURE

1996 ◽  
Vol 11 (10) ◽  
pp. 785-793 ◽  
Author(s):  
SHINYA KANEMURA ◽  
HARU-TADA SATO
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Finite Temperature ◽  
Phase Structure ◽  
Critical Line ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Third Order ◽  
Gross Neveu Model

We discuss phase structure of chiral symmetry breaking of the D-dimensional (2≤D≤3) Gross–Neveu model at finite temperature, density and constant curvature. We evaluate the effective potential in a weak background approximation to thermalize the model as well as in the leading order of the 1/N-expansion. A third-order critical line is observed similarly to the D=2 case.

scholarly journals Chiral symmetry restoration at finite temperature in the linear sigma-model

1994 ◽  
Vol 321 (1-2) ◽  
pp. 66-74 ◽  
Author(s):  
D. Metzger ◽  
H. Meyer-Ortmanns ◽  
H.-J. Pirner
Keyword(s):  
Chiral Symmetry ◽  
Finite Temperature ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Chiral Symmetry Restoration
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