AI 中文总结
该研究提出一种正则零温构造方法，定义纯杨-米尔斯理论与QCD的基本模区域，通过SU(2)基准验证，可自然扩展至完整QCD并具哈密顿诠释。
AI 中文摘要
我们将基本模区域（FMR）表述为正则副本加权朗道规范的零温极限。在有限β下，测度定域于绝对极小值，主导修正由逆法捷耶夫-波波夫（FP）算子主导。小型SU(2)基准通过群体退火与集体盆地跳跃提供计算实现。该构造无需参数化FMR边界即可定义绝对朗道规范，自然扩展至完整量子色动力学（QCD），还可基于FMR上的规范固定真空波函数给出哈密顿诠释。
英文摘要
We formulate the Fundamental Modular Region (FMR) as the zero-temperature limit of regulated copy-weighted Landau gauges. At finite $β$, the measure localizes on absolute minima, and the leading correction is dominated by the inverse Faddeev--Popov (FP) operator. A small $SU(2)$ benchmark provides a computational realization through population annealing and collective basin hopping. Our construction defines absolute Landau gauge without parametrizing the FMR boundary and extends naturally to full quantum chromodynamics (QCD). It also admits a Hamiltonian interpretation in terms of the gauge-fixed vacuum wave functional on the FMR.
Comments18 pages, 2 figures, 1 table
