Title: Two-color lattice QCD in $(1+1)$ dimensions with Grassmann tensor renormalization group Show Chinese title

Title: 二维格点QCD在$(1+1)$维空间中使用格拉斯曼张量重正化群

Abstract: The $(1+1)$-dimensional two-color lattice QCD is studied with the Grassmann tensor renormalization group. We construct tensor network representations of theories with the staggered fermion and the Wilson fermion and show that Grassmann tensor networks can describe both cases with the same bond dimension. We also propose an efficient initial tensor compression scheme to gauge degrees of freedom. We compute the number density, chiral condensate, and diquark condensate at finite density, employing the staggered fermions. For the theory with Wilson fermion, a critical point in the negative mass region is identified by inspecting the pseudoscalar condensate and the conformal field theory data. Show Chinese abstract

Abstract: 以格点量子色动力学的$(1+1)$维两色模型为研究对象，使用格拉斯曼张量重正化群方法。我们构建了具有交错费米子和威尔逊费米子理论的张量网络表示，并表明格拉斯曼张量网络可以用相同的键维数描述这两种情况。我们还提出了一种高效的初始张量压缩方案来处理规范自由度。我们采用交错费米子计算了有限密度下的数密度、手征凝聚和二夸克凝聚。对于具有威尔逊费米子的理论，通过检查赝标量凝聚和共形场论数据，确定了负质量区域中的临界点。