Large N solution of generalized Gross-Neveu model with two coupling constants

Abstract

The Gross-Neveu model in 1+1 dimensions is generalized to the case of different scalar and pseudoscalar coupling constants. This enables us to interpolate smoothly between the standard massless Gross-Neveu models with either discrete or continuous chiral symmetry. We present the solution of the generalized model in the large N limit including the vacuum, fermion-antifermion scattering and bound states, solitonic baryons with fractional baryon number and the full phase diagram at finite temperature and chemical potential.

16 pages, 13 figures; v2: small corrections, improved readability; v3: typos in references corrected

References in corpus (6)

• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Solving two-dimensional large-N QCD with a nonzero density of baryons and arbitrary quark mass
• Tricritical behavior of the massive chiral Gross-Neveu model
• Divergence of the axial current and fermion density in Gross-Neveu models

Cited by in corpus (13)

• Interweaving Chiral Spirals
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• A (1+1) dimensional example of Quarkyonic matter
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Integrable Gross-Neveu models with fermion-fermion and fermion-antifermion pairing
• Dimensional reduction in quantum field theories at finite temperature and density
• Suppression of superconductivity by inhomogeneous chiral condensation in the NJL${}_2$ model
• Excitonic insulators and Gross-Neveu models
• 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
• Competing mechanisms of chiral symmetry breaking in a generalized Gross-Neveu model
• Functional renormalization of QCD in $1+1$ dimensions: four-fermion interactions from quark-gluon dynamics