Restoration of chiral symmetry in cold and dense Nambu-Jona-Lasinio model with tensor renormalization group

A bstract We analyze the chiral phase transition of the Nambu-Jona-Lasinio model in the cold and dense region on the lattice, developing the Grassmann version of the anisotropic tensor renormalization group algorithm. The model is formulated with the Kogut-Susskind fermion action. We use the chiral condensate as an order parameter to investigate the restoration of the chiral symmetry. The first-order chiral phase transition is clearly observed in the dense region at vanishing temperature with μ/T ∼ O (10 3 ) on a large volume of V = 1024 4 . We also present the results for the equation of state.