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

Understand

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.