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

Autor:	Asaduzzaman, Muhammad, Catterall, Simon, Meurice, Yannick, Sakai, Ryo, Toga, Goksu Can
Rok vydání:	2023
Předmět:	High Energy Physics - Lattice
Druh dokumentu:	Working Paper
Popis:	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. Comment: 18 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.16167 Zobrazit plný text záznamu View this record from Arxiv