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

2014/11/16 by Judah Unmuth-Yockey, Yannick Meurice, Unmuth-Yockey, Judah +5 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum many-body systems #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1411.4213

openalex publication_date 2014/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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