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

2010 ◽  
Vol 25 (02n03) ◽  
pp. 616-626 ◽  
Author(s):  
GERALD V. DUNNE

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.


2013 ◽  
Vol 88 (4) ◽  
Author(s):  
Jean-Loïc Kneur ◽  
Marcus Benghi Pinto ◽  
Rudnei O. Ramos

2020 ◽  
Vol 13 (1) ◽  
pp. 127 ◽  
Author(s):  
L. Pannullo ◽  
J. Lenz ◽  
M. Wagner ◽  
B. Wellegehausen ◽  
A. Wipf

2003 ◽  
Vol 67 (12) ◽  
Author(s):  
Michael Thies ◽  
Konrad Urlichs

2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Julian J. Lenz ◽  
Laurin Pannullo ◽  
Marc Wagner ◽  
Björn H. Wellegehausen ◽  
Andreas Wipf

2007 ◽  
Vol 16 (09) ◽  
pp. 2802-2805 ◽  
Author(s):  
JEAN-LOÏC KNEUR ◽  
MARCUS BENGHI PINTO ◽  
RUDNEI O. RAMOS ◽  
EDERSON STAUDT

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.


2020 ◽  
Vol 101 (9) ◽  
Author(s):  
Julian Lenz ◽  
Laurin Pannullo ◽  
Marc Wagner ◽  
Björn Wellegehausen ◽  
Andreas Wipf

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