A new discretized Abelian gauge theory T_k is constructed so that as k→∞ it recovers the monopoleless sector of Maxwell theory, unlike naive Z_k gauge theory, which becomes flat Maxwell theory.
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Discrete Approximations to $\operatorname{U}(1)$ Principal Bundles in Abelian Gauge Theory
A new discretized Abelian gauge theory T_k is constructed so that as k→∞ it recovers the monopoleless sector of Maxwell theory, unlike naive Z_k gauge theory, which becomes flat Maxwell theory.