Tensor renormalization group study of the 2d O(3) model

Abstract

We present our progress on a study of the $O(3)$ model in two-dimensions using the Tensor Renormalization Group method. We first construct the theory in terms of tensors, and show how to construct $n$-point correlation functions. We then give results for thermodynamic quantities at finite and infinite volume, as well as 2-point correlation function data. We discuss some of the advantages and challenges of tensor renormalization and future directions in which to work.

7 pages, 8 figures

References in corpus (6)

• Tensor renormalization group approach to 2D classical lattice models
• Coarse-graining renormalization by higher-order singular value decomposition
• Exact blocking formulas for spin and gauge models
• Tensor renormalization group study of classical XY model on the square lattice
• Controlling sign problems in spin models using tensor renormalization
• Simulating the All-Order Strong Coupling Expansion III: O(N) sigma/loop models

Cited by in corpus (6)

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• Tensor network analysis of critical coupling in two dimensional ${\varphi }^4$ theory
• Higher order tensor renormalization group for relativistic fermion systems
• 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 analysis of $\mathrm{CP}(N-1)$ model in two dimensions
• Tensor RG calculations and quantum simulations near criticality