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Abstract
We propose an exact renormalization group equation for Lattice Gauge Theories, that
has no dependence on the lattice spacing. We instead relate the lattice spacing properties
directly to the continuum convergence of the support of each local plaquette. Equivalently,
this is formulated as a convergence prescription for a characteristic polynomial in
the gauge coupling that allows the exact meromorphic continuation of a nonperturbative
system arbitrarily close to the continuum limit.