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The leading term of the Yang-Mills free energy (1602.01222v6)
Published 3 Feb 2016 in math-ph, hep-lat, hep-th, math.MP, and math.PR
Abstract: This article gives an explicit formula for the leading term of the free energy of three-dimensional $U(N)$ lattice gauge theory for any $N$, as the lattice spacing tends to zero. The proof is based on a novel technique that avoids phase cell renormalization. The technique also yields a similar formula for the four-dimensional theory, but only in the weak coupling~limit.
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