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.

arXiv comment17 pages, 9 figures

References in corpus (7)

• Phase transition of four-dimensional Ising model with higher-order tensor renormalization group
• Tensor network formulation for two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model
• Tensor renormalization group approach to four-dimensional complex ${\varphi }^4$ theory at finite density
• Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a $\theta$ term
• Calculation of higher-order moments by higher-order tensor renormalization group
• Investigation of complex ${\varphi }^4$ theory at finite density in two dimensions using TRG
• Phase structure of NJL model with weak renormalization group

Cited by in corpus (23)

• Tensor lattice field theory with applications to the renormalization group and quantum computing
• Tensor renormalization group and the volume independence in 2D U($N$) and SU($N$) gauge theories
• Tensor renormalization group study of (3+1)-dimensional $Z_2$ gauge-Higgs model at finite density
• Toward tensor renormalization group study of three-dimensional non-Abelian gauge theory
• Critical endpoint of (3+1)-dimensional finite density $Z_3$ gauge-Higgs model with tensor renormalization group
• Phase transition of four-dimensional lattice ${\varphi }^4$ theory with tensor renormalization group
• Tensor renormalization group approach to (1+1)-dimensional Hubbard model
• Bond-weighting method for the Grassmann tensor renormalization group
• Triad second renormalization group
• Gauge invariant input to neural network for path optimization method
• Improving efficiency of the path optimization method for a gauge theory
• Tensor renormalization group approach to (1+1)-dimensional SU(2) principal chiral model at finite density
• Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\theta =\pi$ with Lüscher's admissibility condition
• Matrix product decomposition for two- and three-flavor Wilson fermions: Benchmark results in the lattice Gross-Neveu model at finite density
• Grassmann tensor renormalization group approach to $(1+1)$-dimensional two-color lattice QCD at finite density
• Phase structure analysis of 2d lattice CP(1) model with $\theta$ term using tensor renormalization group method
• Spectroscopy with the tensor renormalization group method
• Triad representation for the anisotropic tensor renormalization group in four dimensions
• Metal-insulator transition in (2+1)-dimensional Hubbard model with tensor renormalization group
• Forward-mode automatic differentiation for the tensor renormalization group and its relation to the impurity method
• Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group
• Grassmann tensor networks
• Tensor renormalization group study of cold and dense QCD in the strong coupling limit