标题： 格点杨-米尔斯的一致度量 显示英文标题

标题： A consistent measure for lattice Yang-Mills

摘要： 构造Yang-Mills的一致测度是准确表述QCD非微扰方法（包括分析和数值方法）的前提条件。 通过将投影极限作为从格点到结构群的同态的笛卡尔积的子集，已经为超立方格点上的非阿贝尔广义连接理论构造了一致的相互作用测度和无限维微积分。 在此，回顾并澄清了过去的工作后，当结构群为紧致时，获得了关于质量间隙的新结果。 显示英文摘要

摘要： The construction of a consistent measure for Yang-Mills is a precondition for an accurate formulation of non-perturbative approaches to QCD, both analytical and numerical. Using projective limits as subsets of Cartesian products of homomorphisms from a lattice to the structure group, a consistent interaction measure and an infinite-dimensional calculus has been constructed for a theory of non-abelian generalized connections on a hypercubic lattice. Here, after reviewing and clarifying past work, new results are obtained for the mass gap when the structure group is compact.