Grassmann tensor renormalization group approach to $(1+1)$-dimensional two-color lattice QCD at finite density

Abstract

We construct a Grassmann tensor network representing the partition function of (1+1)-dimensional two-color QCD with staggered fermions. The Grassmann path integral is rewritten as the trace of a Grassmann tensor network by introducing two-component auxiliary Grassmann fields on every edge of the lattice. We introduce an efficient initial tensor compression scheme to reduce the size of initial tensors. The Grassmann bond-weighted tensor renormalization group approach is adopted to evaluate the quark number density, fermion condensate, and diquark condensate at different gauge couplings as a function of the chemical potential. Different transition behavior is observed as the quark mass is varied. We discuss the efficiency of our initial tensor compression scheme and the future application toward the corresponding higher-dimensional models.

References in corpus (48)

• Tensor renormalization group approach to 2D classical lattice models
• Coarse-graining renormalization by higher-order singular value decomposition
• Tensor Network Renormalization
• Second Renormalization of Tensor-Network States
• Functional integrals for QCD at nonzero chemical potential and zero density
• On two-color QCD with baryon chemical potential
• Loop optimization for tensor network renormalization
• Symmetries and spectrum of SU(2) Lattice Gauge Theory at finite chemical potential
• Quark-meson-diquark model for two-color QCD
• Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density
• Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model
• Non-Abelian string breaking phenomena with Matrix Product States
• Towards the phase diagram of dense two-color matter
• Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states
• Revised Phase Diagram of the Gross-Neveu Model
• Anisotropic Tensor Renormalization Group
• Finite-density phase diagram of a (1+1)-d non-abelian lattice gauge theory with tensor networks
• Grassmann tensor renormalization group for one-flavor lattice Gross-Neveu model with finite chemical potential
• Variational study of U(1) and SU(2) lattice gauge theories with Gaussian states in 1+1 dimensions
• Study of the phase diagram of dense two-color QCD within lattice simulation
• The Phase Diagram of Four Flavor SU(2) Lattice Gauge Theory at Nonzero Chemical Potential and Temperature
• 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
• Tensor network formulation of the massless Schwinger model
• Universal features of the Abelian Polyakov loop in 1+1 dimension
• Efficient simulation of Grassmann Tensor Product States
• A (1+1) dimensional example of Quarkyonic matter
• Hadron Spectrum in a Two-Colour Baryon-Rich Medium
• Two-colour QCD phases and the topology at low temperature and high density
• Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group
• Tensor Network Simulation of compact one-dimensional lattice Quantum Chromodynamics at finite density
• Tensor renormalization group approach to four-dimensional complex ${\varphi }^4$ theory at finite density
• Thermodynamics of strong coupling 2-color QCD with chiral and diquark condensates
• Tensor Renormalization Group with Randomized Singular Value Decomposition
• 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
• Computing the renormalization group flow of two-dimensional ${\varphi }^4$ theory with tensor networks
• 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
• 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
• 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
• Bond-weighting method for the Grassmann tensor renormalization group
• Matrix product decomposition for two- and three-flavor Wilson fermions: Benchmark results in the lattice Gross-Neveu model at finite density
• A Parallel Computing Method for the Higher Order Tensor Renormalization Group

Cited by in corpus (3)

• Triad representation for the anisotropic tensor renormalization group in four dimensions
• 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