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arXiv · 2312.16167

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

Muhammad Asaduzzaman·Simon Catterall·Yannick Meurice·Ryo Sakai·Goksu Can Toga
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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.

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Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice, Ryo Sakai, Goksu Can Toga. 2023-12-26. Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions. https://arxiv.org/abs/2312.16167

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