Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions

Muhammad Asaduzzaman; Simon Catterall; Yannick Meurice; Ryo Sakai; Goksu Can Toga

doi:10.48550/arxiv.2312.16167

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Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions

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Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions

Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice, Ryo Sakai and Goksu Can Toga

ArXiv.org

Cornell University

12/26/2023

DOI: 10.48550/arxiv.2312.16167

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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 show how to construct a tensor network representation of the path integral for reduced staggered fermions coupled to a non-abelian gauge field in two dimensions. The resulting formulation is both memory and computation efficient because reduced staggered fermions can be represented in terms of a minimal number of tensor indices while the gauge sector can be approximated using Gaussian quadrature with a truncation. Numerical results obtained using the Grassmann TRG algorithm are shown for the case of $SU(2)$ lattice gauge theory and compared to Monte Carlo results.

Physics - High Energy Physics - Lattice

Details

Title: Subtitle: Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions
Creators: Muhammad Asaduzzaman
Simon Catterall
Yannick Meurice
Ryo Sakai
Goksu Can Toga
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.2312.16167
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, New York
Language: English
Date posted: 12/26/2023
Academic Unit: Physics and Astronomy
Record Identifier: 9984536731302771

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