发表机构
Kavli Institute for Theoretical Physics, University of California, Santa Barbara; University of California, Santa Barbara; OpenAI（加州大学圣巴巴拉分校卡弗里理论物理研究所; 加州大学圣巴巴拉分校; OpenAI）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在四维格点上非微扰构造了重叠费米子的规范不变测度，为包含标准模型的非阿贝尔手征规范理论提供了候选的非微扰格点定义。
AI 中文摘要
我们在四维欧几里得格点上，针对一类包含标准模型的非阿贝尔手征规范理论，非微扰地构造了重叠费米子的规范不变测度。在可容许的规范场上，比较连续格点间距处的chiral投影算子，可得到一个指数局域的流，并确立了Lüscher重构光滑、规范不变费米子测度所需的全局性质。这为标准模型提供了一个候选的非微扰格点定义。
英文摘要
We nonperturbatively construct a gauge-invariant measure for overlap fermions on four-dimensional Euclidean lattices in a class of nonabelian chiral gauge theories that includes the Standard Model. On admissible gauge fields, comparing chiral projectors at successive lattice spacings yields an exponentially local current and establishes the global properties needed for Lüscher's reconstruction of a smooth, gauge-invariant fermion measure. This provides a candidate nonperturbative lattice definition of the Standard Model.
Comments60+63 pages, 12 figures; three supplementary documents included as ancillary files. Mathematical companion and Lean formalization: https://doi.org/10.5281/zenodo.23196062 . Two-dimensional supplement and calculation records: https://doi.org/10.5281/zenodo.23196101
