Baryons in the Gross-Neveu model in 1+1 dimensions at finite number of flavors

Abstract

In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_{\mathrm{f}}=2,8,16$, finite temperature and finite chemical potential using lattice field theory. Most importantly, we found an inhomogeneous phase at low temperature and large chemical potential, quite similar to the analytically solvable $N_{\mathrm{f}}\to \infty$ limit. In the present work we continue our lattice field theory investigation of the finite-$N_{\mathrm{f}}$ GN model by studying the formation of baryons, their spatial distribution and their relation to the chiral condensate. As a preparatory step we also discuss a linear coupling of lattice fermions to the chemical potential.

8 pages + 2 pages appendix, 12 figures, text files with the data to reproduce the figures provided in source; version accepted for publication in PRD

References in corpus (11)

• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• The lattice QCD phase diagram in and away from the strong coupling limit
• Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
• Low-dimensional Supersymmetric Lattice Models
• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Critical flavour number of the Thirring model in three dimensions
• Phase diagram of the large $N$ Gross-Neveu model in a finite periodic box
• New baryon matter in the lattice Gross-Neveu model
• New DoS approaches to finite density lattice QCD
• Density-of-states

Cited by in corpus (16)

• Regulator dependence of inhomogeneous phases in the 2+1-dimensional Gross-Neveu model
• Inhomogeneities in the $2$-Flavor Chiral Gross-Neveu Model
• Inhomogeneous phases in the chirally imbalanced $2+1$-dimensional Gross-Neveu model and their absence in the continuum limit
• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
• Exact solutions and residual regulator dependence in functional renormalisation group flows
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$
• The magnetized (2+1)-dimensional Gross-Neveu model at finite density
• Remnants of large-$N_{\mathrm{f}}$ inhomogeneities in the 2-flavor chiral Gross-Neveu model
• Revisiting the spatially inhomogeneous condensates in the $(1+1)$-dimensional chiral Gross-Neveu model via the bosonic two-point function in the infinite-$N$ limit
• Functional renormalization of QCD in $1+1$ dimensions: four-fermion interactions from quark-gluon dynamics
• Renormalization group improvement of the effective potential in a (1+1) dimensional Gross-Neveu model
• Exact tricritical point from next-to-leading-order stability analysis
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation
• Exploring new states of matter with a photonic emulator
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation