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

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

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Article number195
JournalJournal of High Energy Physics
Volume2024
Issue number5
DOIs
StatePublished - 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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