We discuss possible existence of inhomogeneous phase in low temperature and high density region in the 1+1 dimensional chiral Gross-Neveu model on the lattice.
We discuss possible existence of inhomogeneous phase in low temperature and high density region in the 1+1 dimensional chiral Gross-Neveu (𝜒GN 2 ) model on the lattice. First we investigate the phase structure of the 𝜒GN 2 model at vanishing chemical potential, changing temperature. From behavior of Δ 2 = Σ 2 + Π 2 as a function of Monte Carlo time, a candidate of an order parameter for chiral symmetry in the 𝜒GN 2 model is Δ. At vanishing chemical potential, we observe restoration of chiral symmetry at high 𝑇. In low temperature and high chemical potential region, we find existence of inhomogeneous phase in spatial correlation functions of 𝜎 and 𝜋. The signal of inhomogeneous phase in correlation function of Δ is more clearly than that of 𝜎 or 𝜋.
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