发表机构
Faculty of Physics, University of Bucharest; “Horia Hulubei” National Institute of Physics and Nuclear Engineering（布加勒斯特大学物理学院; 霍尔亚·胡鲁贝伊国家物理与核工程研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出结合精确对角化与认证降基仿真器的方法，将模糊球CFT临界点搜索成本降低约两个数量级，并准确定位O(2)模型临界耦合及绘制临界线。
AI 中文摘要
模糊球正则化提供了对三维共形场论（CFT）的数值访问途径，但定位一个CFT需要在微观耦合参数空间中测试临界性。我们通过结合基于具有确定总角动量态的精确对角化与认证降基仿真器，将搜索成本降低了约两个数量级；该仿真器能从每个系统尺寸的少量精确解中连续重构能量、可观测量及其导数随耦合的变化。该组合重现了已发表的模糊球伊辛模型基态能量分析，以及O(2) Wilson–Fisher CFT的三味模糊球实现的已发表共形数据，包括由参数导数定义的量。将该方法应用于无CFT输入的O(2)模型时，基态能量准则将临界耦合定位到密度矩阵重整化群在系统尺寸两倍以上所得值的百分之零点五以内，并绘制了模型在耦合平面上的临界线。基态准则能稳健地定位临界线，但它们沿临界线选择的点确定较弱，且计算出的维度在沿线的其他位置最接近自举结果。
英文摘要
Fuzzy-sphere regularization gives numerical access to three-dimensional conformal field theories (CFTs), but locating one requires testing for criticality across the parameter space of microscopic couplings. We reduce the search cost by about two orders of magnitude, combining an exact diagonalization based on states having definite total angular momentum with a certified reduced-basis emulator that reconstructs energies, observables and their derivatives continuously across the couplings from a handful of exact solutions per system size. The combination reproduces the published ground-state-energy analysis of the fuzzy-sphere Ising model and the published conformal data of a three-flavor fuzzy-sphere realization of the O(2) Wilson--Fisher CFT, including quantities defined by parameter derivatives. Applied to the O(2) model with no CFT input, the ground-state-energy criterion locates the critical coupling to within half a percent of a density matrix renormalization group value obtained on systems more than twice the size, and maps the critical line of the model across the coupling plane. Ground-state criteria locate the critical line robustly, but the point they select along it is weakly determined, and the computed dimensions come closest to the bootstrap elsewhere along the line.
Comments12 pages, 7 figures
