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A less well known variant of the Nambu--Jona-Lasinio model with Nc colors andU(2)L X U(2)R chiral symmetry is studied in 1+1 dimensions. Usingsemi-classical methods appropriate for the large Nc limit, we determine thevacuum manifold, the meson spectrum, massless and massive multi-fermion boundstates and the phase diagram as a function of temperature, chemical potentialand isospin chemical potential. An important tool to understand solitondynamics is the generalization of the time-dependent Hartree-Fock approach totwo flavors along the lines recently developed by Takahashi in the context ofunconventional fermionic superfluids and superconductors.

Solving the ${\rm U(2)}_L \times {\rm U(2)}_R$ symmetric Nambu--Jona-Lasinio model in 1+1 dimensions