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Using projective limits as subsets of Cartesian products of homomorphismsfrom a lattice to the structure group, a consistent interaction measure and aninfinite-dimensional calculus has been constructed for a theory of non-abeliangeneralized connections on a hypercubic lattice. Here, after reviewing andclarifying past work, new results are obtained for the mass gap when thestructure group is compact.

Measure and mass gap for generalized connections on hypercubic lattices