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:10.1007/JHEP05(2024)195

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

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

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English (US)
Article number	195
Journal	Journal of High Energy Physics
Volume	2024
Issue number	5
DOIs	https://doi.org/10.1007/JHEP05(2024)195
State	Published - May 2024

Keywords

Algorithms and Theoretical Developments
Field Theories in Lower Dimensions
Non-Zero Temperature and Density

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP05(2024)195

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title = "Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions",

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.",

keywords = "Algorithms and Theoretical Developments, Field Theories in Lower Dimensions, Non-Zero Temperature and Density",

author = "Muhammad Asaduzzaman and Simon Catterall and Yannick Meurice and Ryo Sakai and Toga, {Goksu Can}",

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AU - Asaduzzaman, Muhammad

AU - Catterall, Simon

AU - Meurice, Yannick

AU - Sakai, Ryo

AU - Toga, Goksu Can

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/5

Y1 - 2024/5

N2 - 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.

AB - 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.

KW - Algorithms and Theoretical Developments

KW - Field Theories in Lower Dimensions

KW - Non-Zero Temperature and Density

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

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ER -

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

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Keywords

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