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arXiv · 1411.4213

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

Judah Unmuth-Yockey·Yannick Meurice·James Osborn·Haiyuan Zou
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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.

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Judah Unmuth-Yockey, Yannick Meurice, James Osborn, Haiyuan Zou. 2014-11-16. Tensor renormalization group study of the 2d O(3) model. https://arxiv.org/abs/1411.4213

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