Abstract
The two-dimensional, massless Gross-Neveu model with ${N}_{c}$ colors and SU(2) isospin is studied analytically in the large ${N}_{c}$ limit. The chiral $\mathrm{SU}(2{)}_{L}\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2{)}_{R}$ symmetry is broken spontaneously in the vacuum. Twisted kinks connecting two arbitrary points on the vacuum manifold ${S}^{3}$ are constructed, and their properties are explored. The phase diagram as a function of temperature and baryon and isospin chemical potential is discussed, with special emphasis on inhomogeneous phases. The preferred form of the condensate is a product of the real kink crystal and the chiral spiral. Kink-kink scattering is solved, using the general solution of the multicomponent Bogoliubov--de Gennes equation recently presented by Takahashi.
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