Convergence of U(1)3 lattice gauge theory to its continuum limit |
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Authors: | Leonard Gross |
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Affiliation: | 1. Department of Mathematics, Cornell University, 14853, Ithaca, NY, USA
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Abstract: | It is shown that in three space-time dimensions the pure U(1) lattice gauge theory with Villain action and fixed coupling constant converges to the free electromagnetic field as the lattice spacing approaches zero. The same holds for the Wilson action on the electric sector. |
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