Critical endpoint of (3+1)-dimensional finite density $Z_3$ gauge-Higgs model with tensor renormalization group

Abstract

The critical endpoint of the (3+1)-dimensional $Z_3$ gauge-Higgs model at finite density is determined by the tensor renormalization group method. This work is an extension of the previous one on the $Z_2$ model. The vital difference between them is that the $Z_3$ model suffers from the sign problem, while the $Z_2$ model does not. We show that the tensor renormalization group method allows us to locate the critical endpoint for the $Z_3$ gauge-Higgs model at finite density, regardless of the sign problem.

18 pages, 10 figures. arXiv admin note: text overlap with arXiv:2202.10051

References in corpus (19)

• Tensor renormalization group approach to 2D classical lattice models
• Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model
• Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
• Tensor lattice field theory with applications to the renormalization group and quantum computing
• Grassmann tensor renormalization group for one-flavor lattice Gross-Neveu model with finite chemical potential
• Tensor renormalization group study of the non-Abelian Higgs model in two dimensions
• Tensor network formulation of the massless Schwinger model
• Higher order tensor renormalization group for relativistic fermion systems
• Tensor renormalization group approach to four-dimensional complex ${\varphi }^4$ theory at finite density
• 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
• 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
• Phase transition of four-dimensional lattice ${\varphi }^4$ theory with tensor renormalization group
• Phase structure of the CP(1) model in the presence of a topological $\theta$-term
• Tensor renormalization group approach to (1+1)-dimensional Hubbard model
• Triad second renormalization group

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• Triad representation for the anisotropic tensor renormalization group in four dimensions
• Quantum circuit for ${\mathbb{Z}}_3$ lattice gauge theory at nonzero baryon density
• Forward-mode automatic differentiation for the tensor renormalization group and its relation to the impurity method
• Applying the Triad network representation to four-dimensional ATRG method
• ${\mathbb{Z}}_3$ lattice gauge theory as a toy model for dense QCD
• Tensor renormalization group study of cold and dense QCD in the strong coupling limit