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

Judah Unmuth-Yockey; Yannick Meurice; James Osborn; Haiyuan Zou

doi:10.48550/arXiv.1411.4213

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

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

Judah Unmuth-Yockey, Yannick Meurice, James Osborn and Haiyuan Zou

ArXiv.org

Cornell University Library, arXiv.org

11/16/2014

DOI: 10.48550/arXiv.1411.4213

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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.

Mathematical analysis

Tensors

Two dimensional models

Details

Title: Subtitle: Tensor renormalization group study of the 2d O(3) model
Creators: Judah Unmuth-Yockey
Yannick Meurice
James Osborn
Haiyuan Zou
Resource Type: Preprint
Publication Details: ArXiv.org
Publisher: Cornell University Library, arXiv.org; Ithaca
DOI: 10.48550/arXiv.1411.4213
ISSN: 2331-8422
Language: English
Date posted: 11/16/2014
Academic Unit: Physics and Astronomy
Record Identifier: 9984429012602771

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