Regulator dependence of inhomogeneous phases in the ( 2+1 )-dimensional Gross-Neveu model

Inhomogeneous Phases in the Chirally Imbalanced 2 + 1-Dimensional Gross-Neveu Model and Their Absence in the Continuum Limit

“…Recently, the existence of inhomogeneous phases was also explored in the 2 + 1dimensional GN model in the mean-field approximation [31][32][33]. Such 2 + 1-dimensional four-fermion theories are of interest both in high energy physics [34][35][36][37][38] and in condensed matter physics [39][40][41][42][43][44][45][46], but also to study conceptual questions, e.g., renormalizability in the 1/N expansion or in a perturbative approach [47][48][49][50].…”

“…In our recent publication ref. [33] we studied the existence of an inhomogeneous phase in the 2 + 1dimensional GN model within the mean-field approximation. Our main findings were that an inhomogeneous phase is present at finite regulator and for certain regularization schemes (a Pauli-Villars cutoff and a specific lattice discretization), but it disappears when the regulator is removed, as previously observed in ref.…”

“…In this work we continue our investigations from ref. [33] by extending the 2 + 1dimensional GN model with a chiral chemical potential. We studied its phase diagram, where our main focus was on possibly existing inhomogeneous phases.…”

Topological Aspects of Dense Matter: Lattice Studies

“…[5] can be seen in Figure 1. Non-homogeneous phases [7,8], predicted and only recently observed [9] in simple models at finite density, may well have different confining and topological properties.…”

The Staggered Fermion for the Gross-Neveu Model at Non-Zero Temperature and Density

“…The symmetry breaking of Gross-Neveu model for the 1 + 1d case has been studied extensively [21]- [29]. Recently, 2 + 1d Gross-Neveu model is used to study the inhomogeneous phases [30] and the symmetry breaking [31].…”