AI 中文总结
采用保留完整SU(2)规范场的连续群变分蒙特卡罗方法，确定含动力学费米子的2+1维未截断SU(2)格点规范理论的量子相图，揭示磁通量转变及规范-物质离域渡越等关键性质。
AI 中文摘要
含动力学物质的非阿贝尔规范理论主导强相互作用及一大类强关联量子系统，但其基态性质难以从第一性原理获得。采用保留完整SU(2)规范场、无截断的连续群变分蒙特卡罗方法，我们确定了L×L方格点上含交错费米子的SU(2)格点规范理论的基态行为。独立处理磁耦合λ和电耦合g²，我们发现磁通量转变点为λ*=-0.040±0.005，且该转变点随电耦合变化无明显漂移。沿物理耦合线λ=4/g²，针对L=4、6、8的情况，我们揭示了规范-物质离域渡越：从强电耦合下的通量无序区到弱电耦合下的有序单位通量区。手征凝聚、规范不变的威尔逊线介子关联函数及局域色密度一致表明，出现了由规范辅助的相干物质动力学。这些结果共同为未截断非阿贝尔格点规范理论中磁通量有序与费米子相干性的形成提供了统一物理图像。
英文摘要
Non-Abelian gauge theories with dynamical matter govern the strong interaction and a broad class of strongly correlated quantum systems, yet their ground-state properties remain difficult to obtain from first principles. Using a continuous-group variational Monte Carlo approach that retains the full SU$(2)$ gauge field without truncation, we determine the ground-state behavior of the SU$(2)$ lattice gauge theory with staggered fermions on an $L\times L$ square lattice. Treating the magnetic and electric couplings $λ$ and $g^2$ independently, we find a magnetic-flux transition at $λ^\ast=-0.040\pm 0.005$, with no resolvable drift of the transition point as the electric coupling is varied. Along the physical coupling line $λ=4/g^2$, for $L=4,6,8$, we uncover a gauge-matter delocalization crossover from a flux-disordered regime at strong electric coupling to an ordered unity-flux regime at weak coupling. The chiral condensate, a gauge-invariant Wilson-line meson correlator, and the local color density consistently reveal the emergence of coherent gauge-assisted matter dynamics. Together, these results provide a unified physical picture of how magnetic-flux ordering and fermionic coherence develop in an untruncated non-Abelian lattice gauge theory.
Comments8+3 pages, 3+3 figures
