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

Abstract

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 $\mu /T\sim O(10^3)$ on a large volume of $V=1024^4$. We also present the results for the equation of state.

17 pages, 9 figures

References in corpus (1)

• Tensor renormalization group approach to four-dimensional complex ${\varphi }^4$ theory at finite density

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