近日，美国锡拉丘兹大学Toga, Goksu Can研究组近日取得一项新成果。经过不懈努力，他们提出耦合到约化交错费米子的非阿贝尔规范理论的张量网络表示。相关研究成果已于2024年5月16日在国际知名学术期刊《高能物理杂志》上发表。

该研究团队成功展示了在二维空间中如何构建一个张量网络表示的路径积分，实现了约化交错费米子与非阿贝尔规范场的耦合。由于约化交错费米子可以用最少数量的张量指数来表示，而规范区可以用带有截断的高斯正交来近似，因此所得公式在存储和计算上都是有效的。

对于SU(2)晶格规范理论，研究人员给出了用格拉斯曼TRG算法得到的数值结果，并与蒙特卡罗结果进行了比较。

附：英文原文

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

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

Issue&Volume: 2024-05-16

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.

DOI: 10.1007/JHEP05(2024)195

Source: https://link.springer.com/article/10.1007/JHEP05(2024)195