用张量网络模拟有限密度下的(2+1)维SU(2)杨-米尔斯格点规范理论
Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
AI总结：
本研究利用无符号问题的张量网络，模拟了含动力学物质与硬核胶子的(2+1)维SU(2)杨-米尔斯格点规范理论，刻画了不同重子数下随夸克质量与色荷变化的相图，发现重子液相及转变边界处的退禁闭、拓扑序迹象。
摘要：
我们使用张量网络（TN）对二维空间的非阿贝尔格点规范理论进行了数值模拟，模拟的中等规模系统（含超过30个物质格点）远超精确对角化方法的处理能力。我们聚焦于哈密顿形式的SU(2) Yang-Mills模型，该模型包含动力学物质与最小截断规范场（硬核胶子）。借助TN无符号问题的方法，我们刻画了模型在零重子数与有限重子数下的相图，其随夸克裸质量与色荷变化。在中等系统尺寸下，我们探测到夸克对束缚态准粒子（重子）的液相，其质量在趋近连续极限时为有限值。在色电项与色磁项最大阻挫的转变边界处出现了有趣的现象：低夸克质量下，我们观测到潜在退禁闭的迹象；高夸克质量下，则存在可能的拓扑序特征。
英文摘要：
We numerically simulate a non-Abelian lattice gauge theory in two spatial dimensions, with tensor networks (TN), up to intermediate sizes (>30 matter sites) well beyond exact diagonalization. We focus on the SU(2) Yang-Mills model in Hamiltonian formulation, with dynamical matter and minimally truncated gauge field (hardcore gluon). Thanks to the TN sign-problem-free approach, we characterize the phase diagram of the model at zero and finite baryon number as a function of the quark bare mass and color charge. At intermediate system sizes, we detect a liquid phase of quark-pair bound-state quasiparticles (baryons), whose mass is finite towards the continuum limit. Interesting phenomena arise at the transition boundary where color-electric and color-magnetic terms are maximally frustrated: For low quark masses, we see traces of potential deconfinement, while for high masses, signatures of a possible topological order.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
