Loop-TNR analysis of CP(1) model with theta term

Abstract

The phase structure of the two dimensional lattice CP(1) model in the presence of the $\theta$ term is analyzed by tensor network methods. The tensor renormalization group, which is a standard renormalization method of tensor networks, is used for the regions $\theta =0$ and $\theta \ne 0$. Loop-TNR, which is more suitable for the analysis of near criticality, is also implemented for the region $\theta =0$. The application of Loop-TNR for the region $\theta \ne 0$ is left for future work.

arXiv comment7 pages, 10 figures, talk presented at the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain

References in corpus (11)

• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Tensor renormalization group approach to 2D classical lattice models
• Coarse-graining renormalization by higher-order singular value decomposition
• Tensor Network Renormalization
• Loop optimization for tensor network renormalization
• Meron-Cluster Simulation of the $\theta$-Vacuum in the 2-d $O(3)$-Model
• Walking near a Conformal Fixed Point: the 2-d O(3) Model at theta near pi as a Test Case
• Critical Behavior of CP^1 at theta = pi, Haldane's Conjecture and the Universality Class
• Non-trivial θ-Vacuum Effects in the 2-d O(3) Model
• Behavior near $\theta =\pi$ of the mass gap in the 2D O(3) non-linear sigma model
• Critical behaviour of the O(3) nonlinear sigma model with topological term at theta=pi from numerical simulations

Cited by in corpus (5)

• Tensor lattice field theory with applications to the renormalization group and quantum computing
• Phase structure of the CP(1) model in the presence of a topological $\theta$-term
• Phase structure analysis of 2d lattice CP(1) model with $\theta$ term using tensor renormalization group method
• Metal-insulator transition in (2+1)-dimensional Hubbard model with tensor renormalization group
• Tensor renormalization group study of cold and dense QCD in the strong coupling limit