Grassmann tensor renormalization group for one-flavor lattice Gross-Neveu model with finite chemical potential

Abstract

We apply the Grassmann tensor renormalization group (GTRG) to the one-flavor lattice Gross-Neveu model in the presence of chemical potential. We compute the fermion number density and its susceptibility and confirm the validity of GTRG for the finite density system. We introduce a method analogous to the reweighting method for Monte Carlo method and test it for some parameters.

arXiv comment18 pages, 8 figures

References in corpus (9)

• Tensor renormalization group approach to 2D classical lattice models
• Coarse-graining renormalization by higher-order singular value decomposition
• Second Renormalization of Tensor-Network States
• Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model
• Tensor renormalization group study of classical XY model on the square lattice
• Critical behavior of lattice Schwinger model with topological term at $\theta =\pi$ using Grassmann tensor renormalization group
• Efficient simulation of Grassmann Tensor Product States
• Two-dimensional Lattice Gross-Neveu Model with Wilson Fermion Action at Finite Temperature and Chemical Potential
• Tensor renormalization group study of the 2d O(3) model

Cited by in corpus (54)

• Simulating Lattice Gauge Theories within Quantum Technologies
• Quantum Simulation for High Energy Physics
• Review on novel methods for lattice gauge theories
• Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
• Tensor lattice field theory with applications to the renormalization group and quantum computing
• Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion
• Tensor renormalization group study of the non-Abelian Higgs model in two dimensions
• 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 of the massless Schwinger model
• 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
• 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
• Three-dimensional finite temperature Z${}_2$ gauge theory with tensor network scheme
• More about the Grassmann tensor renormalization group
• 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
• Grassmann higher-order tensor renormalization group approach for two-dimensional strong-coupling QCD
• Phase transition of four-dimensional lattice ${\varphi }^4$ theory with tensor renormalization group
• Critical endpoint of (3+1)-dimensional finite density $Z_3$ gauge-Higgs model with tensor renormalization group
• Examples of symmetry-preserving truncations in tensor field theory
• Discrete aspects of continuous symmetries in the tensorial formulation of Abelian gauge theories
• Tensor Renormalization Group Algorithms with a Projective Truncation Method
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Tensor renormalization group approach to (1+1)-dimensional Hubbard model
• Bond-weighting method for the Grassmann tensor renormalization group
• Phase structure of the 1+1 dimensional massive Thirring model from matrix product states
• Tensor renormalization group approach to (1+1)-dimensional SU(2) principal chiral model at finite density
• Direct computational approach to lattice supersymmetric quantum mechanics
• Kondo effect with Wilson fermions
• Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\theta =\pi$ with Lüscher's admissibility condition
• Phase transition of four-dimensional Ising model with tensor network scheme
• Matrix product decomposition for two- and three-flavor Wilson fermions: Benchmark results in the lattice Gross-Neveu model at finite density
• Lattice regularisation and entanglement structure of the Gross-Neveu model
• Quantum Field Theories with Tensor Renormalization Group
• Grassmann tensor renormalization group approach to $(1+1)$-dimensional two-color lattice QCD at finite density
• Initial tensor construction and dependence of the tensor renormalization group on initial tensors
• Tensor RG calculations and quantum simulations near criticality
• All-mode Renormalization for Tensor Network with Stochastic Noise
• Spectroscopy with the tensor renormalization group method
• Phase structure analysis of 2d lattice CP(1) model with $\theta$ term using tensor renormalization group method
• Triad representation for the anisotropic tensor renormalization group in four dimensions
• Irregular parameter dependence of numerical results in tensor renormalization group analysis
• Application of tensor network method to two dimensional lattice $\mathcal{N}=1$ Wess-Zumino model
• Forward-mode automatic differentiation for the tensor renormalization group and its relation to the impurity method
• Tensor network approach to 2D Yang-Mills theories
• Metal-insulator transition in (2+1)-dimensional Hubbard model with tensor renormalization group
• Grassmann tensor-network method for strong-coupling QCD
• Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group
• Tensor renormalization group study of cold and dense QCD in the strong coupling limit
• Approaching conformality with the Tensor Renormalization Group method