A consistent measure for lattice Yang-Mills
High Energy Physics - Theory
2017-11-13 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1711.03598,
title = {A consistent measure for lattice Yang-Mills},
author = {R. Vilela Mendes},
journal= {arXiv preprint arXiv:1711.03598},
year = {2017}
}
Comments
15 pages Latex, 2 figures. arXiv admin note: substantial text overlap with arXiv:1504.07798