Tricritical behavior of the massive chiral Gross-Neveu model

@article{Boehmer2007TricriticalBO,
  title={Tricritical behavior of the massive chiral Gross-Neveu model},
  author={Christian Boehmer and Michael Thies and Konrad Urlichs},
  journal={Physical Review D},
  year={2007},
  volume={75},
  pages={105017}
}
The phase diagram of the massive chiral Gross-Neveu model (the $1+1$-dimensional Nambu-Jona-Lasinio model at large $N$) is investigated in the vicinity of the tricritical point. Using the derivative expansion, the grand canonical potential is cast into the form of a Ginzburg-Landau effective action. Minimization of this action by variational and numerical methods reveals both 1st and 2nd order phase transitions to a chiral crystal phase, separated by a tricritical line. These findings are… 
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References

Chiral crystals in strong-coupling lattice QCD at nonzero chemical potential
We study the effective action for strong-coupling lattice QCD with one-component staggered fermions in the case of nonzero chemical potential and zero temperature. The structure of this action