Tensor renormalization group approach to (1+1)-dimensional SU(2) principal chiral model at finite density

Abstract

We apply the tensor renormalization group method to the (1+1)-dimensional SU(2) principal chiral model at finite chemical potential with the use of the Gauss-Legendre quadrature to discretize the SU(2) Lie group. The internal energy at vanishing chemical potential $\mu =0$ shows good consistency with the prediction of the strong and weak coupling expansions. This indicates an effectiveness of the Gauss-Legendre quadrature for the partitioning of the SU(2) Lie group. In the finite density region with $\mu \ne 0$ at the strong coupling we observe the Silver-Blaze phenomenon for the number density.

References in corpus (27)

• Tensor renormalization group approach to 2D classical lattice models
• Coarse-graining renormalization by higher-order singular value decomposition
• Tensor-entanglement renormalization group approach to 2D quantum systems
• Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model
• Exact blocking formulas for spin and gauge models
• Critical behavior of lattice Schwinger model with topological term at $\theta =\pi$ using Grassmann tensor renormalization group
• Anisotropic Tensor Renormalization Group
• Grassmann tensor renormalization group for one-flavor lattice Gross-Neveu model with finite chemical potential
• Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion
• Tensor network analysis of critical coupling in two dimensional ${\varphi }^4$ theory
• 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
• Higher order tensor renormalization group for relativistic fermion systems
• Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group
• Bond-weighted Tensor Renormalization Group
• 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
• Investigation of complex ${\varphi }^4$ theory at finite density in two dimensions using TRG
• Restoration of chiral symmetry in cold and dense Nambu--Jona-Lasinio model with tensor renormalization group
• Tensor renormalization group and the volume independence in 2D U($N$) and SU($N$) gauge theories
• The two-dimensional O(3) model at nonzero density: from dual lattice simulations to repulsive bosons
• Tensor renormalization group study of (3+1)-dimensional $Z_2$ gauge-Higgs model at finite density
• Two dimensional SU(N) x SU(N) chiral models on the lattice
• Toward tensor renormalization group study of three-dimensional non-Abelian gauge theory
• Phase transition of four-dimensional lattice ${\varphi }^4$ theory with tensor renormalization group
• Bond-weighting method for the Grassmann tensor renormalization group
• Kramers-Wannier duality and worldline representation for the SU(2) principal chiral model

Cited by in corpus (5)

• Matrix product decomposition for two- and three-flavor Wilson fermions: Benchmark results in the lattice Gross-Neveu model at finite density
• Spectroscopy with the tensor renormalization group method
• Triad representation for the anisotropic tensor renormalization group in four dimensions
• Forward-mode automatic differentiation for the tensor renormalization group and its relation to the impurity method
• Tensor renormalization group study of cold and dense QCD in the strong coupling limit