Baryons in Massive Gross-Neveu Models

Abstract

Baryons in the large N limit of (1+1)-dimensional Gross-Neveu models with either discrete or continuous chiral symmetry have long been known. We generalize their construction to the case where the symmetry is explicitly broken by a bare mass term in the Lagrangian. In the discrete symmetry case, the exact solution is found for arbitrary bare fermion mass, using the Hartree-Fock approach. It is mathematically closely related to polarons and bipolarons in conducting polymers. In the continuous symmetry case, a derivative expansion allows us to rederive a formerly proposed Skyrme-type model and to compute systematically corrections to the leading order description based on an effective sine-Gordon theory.

8 pages, no figure, revtex; v2: comments on the relationship to (bi-)polarons in conducting polymers and 2 references added

References in corpus (8)

• Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density
• Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors
• Revised Phase Diagram of the Gross-Neveu Model
• All about the Static Fermion Bags in the Gross-Neveu Model
• Thermodynamics of the Massive Gross-Neveu Model
• Analytical solution of the Gross-Neveu model at finite density
• Fermion Bags in the Massive Gross-Neveu Model
• Finite Temperature Induced Fermion Number In The Nonlinear sigma Model In (2+1) Dimensions

Cited by in corpus (28)

• Phases of Dense Quarks at Large N_c
• Quarkyonic Chiral Spirals
• Full Phase Diagram of the Massive Gross-Neveu Model
• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• Faster Quantum Algorithm to simulate Fermionic Quantum Field Theory
• Classical behavior of deformed sine-Gordon models
• Tricritical behavior of the massive chiral Gross-Neveu model
• From non-degenerate conducting polymers to dense matter in the massive Gross-Neveu model
• Baryons in the large N limit of the massive two-dimensional Nambu-Jona-Lasinio model
• Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model
• Exact solution of N baryon problem in the Gross-Neveu model
• Divergence of the axial current and fermion density in Gross-Neveu models
• Stable Fermion Bag Solitons in the Massive Gross-Neveu Model: Inverse Scattering Analysis
• Integrable Gross-Neveu models with fermion-fermion and fermion-antifermion pairing
• Integrating out the Dirac sea: Effective field theory approach to exactly solvable four-fermion models
• Large N solution of generalized Gross-Neveu model with two coupling constants
• Baryon-baryon scattering in the Gross-Neveu model: the large N solution
• Covariant boost and structure functions of baryons in Gross-Neveu models
• First-order phase boundaries of the massive 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Breathers and their interaction in the massless Gross-Neveu model
• Fermion Bag Solitons in the Massive Gross-Neveu and Massive Nambu-Jona-Lasinio Models in 1+1 Dimensions: Inverse Scattering Analysis
• Beyond integrability: Baryon-baryon backward scattering in the massive Gross-Neveu model
• Competing mechanisms of chiral symmetry breaking in a generalized Gross-Neveu model
• Tricritical curve of massive chiral Gross-Neveu model with isospin
• Untwisting twisted NJL${}_2$-kinks by a bare fermion mass
• On bound states in Quantum Field Theory
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation