TL;DR
This paper introduces an exact renormalization group equation for lattice gauge theories that directly connects lattice properties to continuum limits, enabling precise nonperturbative analysis.
Contribution
It presents a novel renormalization approach that eliminates lattice spacing dependence and provides a convergence method for nonperturbative systems near the continuum.
Findings
Provides an exact, lattice-spacing independent RG equation.
Enables meromorphic continuation of gauge systems.
Links lattice properties directly to continuum convergence.
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.
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