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Revised Phase Diagram of the Gross-Neveu Model
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We confirm earlier hints that the conventional phase diagram of the discrete chiral Gross-Neveu model in the large N limit is deficient at non-zero chemical potential. We present the corrected phase diagram constructed in mean field theory. It has three different phases, including a kink-antikink crystal phase. All transitions are second order. The driving mechanism for the new structure of baryonic matter in the Gross-Neveu model is an Overhauser type instability with gap formation at the Fermi surface.
Forward citations
Cited by 4 Pith papers
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Functional renormalization of QCD in $1 + 1$ dimensions: four-fermion interactions from quark-gluon dynamics
First functional renormalization group study of two-dimensional QCD with a mass-like regulator, producing flow equations for the gauge coupling, quark mass, and a Fierz-complete set of four-fermion interactions.
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Constraining fermionic condensates
A large-volume approximant for the constrained fermionic path integral is derived and tested in the chiral Gross-Neveu model, showing the chiral condensate appears as the edge of a flat disk in the constraint potential.
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Exotic phases in finite-density $\mathbb{Z}_3$ theories
Using approximate renormalization group methods, the authors map phase diagrams of Z3 spin and gauge models and find that only chiral spin models and their duals show an infinite Devil's flower family of inhomogeneous...
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Lattice investigation of an inhomogeneous phase of the 2+1-dimensional Gross-Neveu model in the limit of infinitely many flavors
Numerical stability analysis of the 2+1d Gross-Neveu model in the large-Nf limit finds a triangular region in the temperature-chemical potential plane where the condensate is spatially modulated.
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