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.
Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model
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Magnetic catalysis describes the enhancement of symmetry breaking quantum fluctuations in chirally symmetric quantum field theories by the coupling of fermionic degrees of freedom to a magnetic background configuration. We use the functional renormalization group to investigate this phenomenon for interacting Dirac fermions propagating in (2+1)-dimensional spacetime, described by the Gross-Neveu model. We identify pointlike operators up to quartic fermionic terms that can be generated in the renormalization group flow by the presence of an external magnetic field. We employ the beta function for the fermionic coupling to quantitatively analyze the field dependence of the induced spectral gap. Within our pointlike truncation, the renormalization group flow provides a simple picture for magnetic catalysis.
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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.