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

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

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

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

University of Iowa
Argonne National Laboratory
University of Pittsburgh

Research output: Contribution to journal › Conference article › peer-review

8 Scopus citations

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.

Original language	English
Article number	325
Journal	Proceedings of Science
Volume	Part F130500
State	Published - 2014
Externally published	Yes
Event	32nd International Symposium on Lattice Field Theory, LATTICE 2014 - New York, United States Duration: 23 Jun 2014 → 28 Jun 2014

Cite this

@article{3a075444d1f14099a321fc114a08c310,

title = "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.",

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

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.; 32nd International Symposium on Lattice Field Theory, LATTICE 2014 ; Conference date: 23-06-2014 Through 28-06-2014",

year = "2014",

language = "英语",

volume = "Part F130500",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "Sissa Medialab Srl",

}

TY - JOUR

T1 - Tensor renormalization group study of the 2d O(3) model

AU - Unmuth-Yockey, Judah

AU - Meurice, Yannick

AU - Osborn, James

AU - Zou, Haiyuan

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85030112055

M3 - 会议文章

AN - SCOPUS:85030112055

SN - 1824-8039

VL - Part F130500

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 325

T2 - 32nd International Symposium on Lattice Field Theory, LATTICE 2014

Y2 - 23 June 2014 through 28 June 2014

ER -

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

Abstract

Other files and links

Fingerprint

Cite this