Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\theta =\pi$ with Lüscher's admissibility condition

Abstract

We investigate the phase structure of the (1+1)-dimensional U(1) gauge-Higgs model with a $\theta$ term, where the U(1) gauge action is constructed with Lüscher's admissibility condition. Using the tensor renormalization group, both the complex action problem and topological freezing problem in the standard Monte Carlo simulation are avoided. We find the first-order phase transition with sufficiently large Higgs mass at $\theta =\pi$, where the ${\mathbb{Z}}_2$ charge conjugation symmetry is spontaneously broken. On the other hand, the symmetry is restored with a sufficiently small mass. We determine the critical endpoint as a function of the Higgs mass parameter and show the critical behavior is in the two-dimensional Ising universality class.

22 pages, 10 figures, 2 tables

References in corpus (12)

• Tensor renormalization group approach to 2D classical lattice models
• Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model
• Grassmann tensor renormalization group for one-flavor lattice Gross-Neveu model with finite chemical potential
• Higher order tensor renormalization group for relativistic fermion systems
• Tensor renormalization group approach to four-dimensional complex ${\varphi }^4$ theory at finite density
• Finite-size and finite bond dimension effects of tensor network renormalization
• Grassmann higher-order tensor renormalization group approach for two-dimensional strong-coupling QCD
• Bond-weighting method for the Grassmann tensor renormalization group
• Tensor renormalization group approach to (1+1)-dimensional Hubbard model
• Tensor Network Based Finite-Size Scaling for Two-Dimensional Classical Models
• 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

Cited by in corpus (6)

• Multi-impurity method for the bond-weighted tensor renormalization group
• Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions
• 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
• Grassmann tensor renormalization group for the massive Schwinger model with a $\theta$ term using staggered fermions