A consistent measure for lattice Yang-Mills
arXiv:1711.03598 · doi:10.1142/S0217751X17500166
Abstract
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.
15 pages Latex, 2 figures. arXiv admin note: substantial text overlap with arXiv:1504.07798