Higher order tensor renormalization group for relativistic fermion systems

Abstract

We apply the higher order tensor renormalization group to two and three dimensional relativistic fermion systems on the lattice. In order to perform a coarse-graining of tensor networks including Grassmann variables, we introduce Grassmann higher order tensor renormalization group. We test the validity of the new algorithm by comparing its results with those of exact or previous methods.

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Cited by in corpus (36)

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• Phase transition of four-dimensional Ising model with higher-order tensor renormalization group
• A gauge-invariant, rotor Hamiltonian from dual variables of 3D U(1) gauge theory
• Tensor network formulation of the massless Schwinger model
• Tensor network formulation for two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model
• 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
• 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
• 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
• Tensor Renormalization Group Algorithms with a Projective Truncation Method
• Bond-weighting method for the Grassmann tensor renormalization group
• 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
• Tensor renormalization group approach to (1+1)-dimensional SU(2) principal chiral model at finite density
• GrassmannTN: a Python package for Grassmann tensor network computations
• Direct computational approach to lattice supersymmetric quantum mechanics
• Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\theta =\pi$ with Lüscher's admissibility condition
• Quantum Field Theories with Tensor Renormalization Group
• Reduced tensor network formulation for non-Abelian gauge theories in arbitrary dimensions
• All-mode Renormalization for Tensor Network with Stochastic Noise
• Triad representation for the anisotropic tensor renormalization group in four dimensions
• Irregular parameter dependence of numerical results in tensor renormalization group analysis
• 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
• Grassmann tensor networks
• Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group