scholarly journals Updating the phase diagram of the Gross–Neveu model in 2+1 dimensions

2007 ◽  
Vol 657 (1-3) ◽  
pp. 136-142 ◽  
Author(s):  
Jean-Loïc Kneur ◽  
Marcus Benghi Pinto ◽  
Rudnei O. Ramos ◽  
Ederson Staudt
Keyword(s):  
Phase Diagram ◽  
Gross Neveu Model

scholarly journals SYMMETRIES IN THE GROSS-NEVEU PHASE DIAGRAM

2010 ◽  
Vol 25 (02n03) ◽  
pp. 616-626 ◽  
Author(s):  
GERALD V. DUNNE
Keyword(s):  
Phase Diagram ◽  
Chiral Symmetry ◽  
Nonlinear Equations ◽  
Chemical Potential ◽  
Ginzburg Landau ◽  
Akns Hierarchy ◽  
Gap Equation ◽  
Gross Neveu Model

The existence of crystalline condensates in the temperature and chemical potential phase diagram of the Gross-Neveu models can be traced to intricate symmetries of the associated inhomogeneous gap equation. The gap equation based on the Ginzburg-Landau expansion is precisely the mKdV or AKNS hierarchy of integrable nonlinear equations for the Gross-Neveu model with discrete or continuous chiral symmetry, respectively. The former model also has a dense-dilute symmetry that is due to the energy-reflection duality of the underlying quasi-exactly soluble spectral operators.

scholarly journals Phase diagram of the magnetized planar Gross-Neveu model beyond the large-Napproximation

2013 ◽  
Vol 88 (4) ◽  
Author(s):  
Jean-Loïc Kneur ◽  
Marcus Benghi Pinto ◽  
Rudnei O. Ramos
Keyword(s):  
Phase Diagram ◽  
Gross Neveu Model

scholarly journals Lattice investigation of the phase diagram of the 1+1 dimensional Gross-Neveu model at finite number of fermion flavors

2020 ◽  
Author(s):  
Laurin Pannullo ◽  
Julian Lenz ◽  
Marc Wagner ◽  
Bjorn Wellegehausen ◽  
Andreas Wipf
Keyword(s):  
Phase Diagram ◽  
Finite Number ◽  
Gross Neveu Model

scholarly journals Revised phase diagram of the Gross-Neveu model

2003 ◽  
Vol 67 (12) ◽  
Author(s):  
Michael Thies ◽  
Konrad Urlichs
Keyword(s):  
Phase Diagram ◽  
Gross Neveu Model

PHASE DIAGRAM OF THE THREE DIMENSIONAL FOUR FERMI MODEL WITH FINITE N CORRECTIONS

2007 ◽  
Vol 16 (09) ◽  
pp. 2802-2805 ◽  
Author(s):  
JEAN-LOÏC KNEUR ◽  
MARCUS BENGHI PINTO ◽  
RUDNEI O. RAMOS ◽  
EDERSON STAUDT
Keyword(s):  
Phase Diagram ◽  
Free Energy ◽  
Perturbation Theory ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Three Dimensional ◽  
Fermi Model ◽  
Analytical Results ◽  
Theory Technique ◽  
Gross Neveu Model

We study the phase diagram of the 3d massless Gross–Neveu model with different numbers of fermionic species, N. Using the Optimized Perturbation Theory technique, the free energy is evaluated at finite temperature and chemical potential. The analytical results allow us to calculate critical quantities for any value of N and, in the present work, we choose de values N = 1,3,4,10. In addition, we determine the evolution of the tricritical points, in the temperature versus chemical potential plane for these different values of N.

scholarly journals Full phase diagram of the massive Gross–Neveu model

2006 ◽  
Vol 321 (11) ◽  
pp. 2604-2637 ◽  
Author(s):  
Oliver Schnetz ◽  
Michael Thies ◽  
Konrad Urlichs
Keyword(s):  
Phase Diagram ◽  
Gross Neveu Model
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