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arXiv · 1711.03598

A consistent measure for lattice Yang-Mills

R. Vilela Mendes
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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.

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R. Vilela Mendes. 2017-11-08. A consistent measure for lattice Yang-Mills. https://doi.org/10.1142/s0217751x17500166

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