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2016

The leading term of the Yang-Mills free energy

Chatterjee, Sourav

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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.

The leading term of the Yang-Mills free energy · Around

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Selberg, A
1944
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Mehta, M. L
1963
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Wilson, K. G
1974
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Rudin, W
1976
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Osterwalder, K
1978
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Brydges, D., Fröhlich, J
1979
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Bralić, N. E
1980
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Brydges, D., Fröhlich, J
1980
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Brydges, D., Fröhlich, J
1981
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Bałaban, T
1983
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Borgs, C
1983
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Gross, L
1983
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Federbush, P
1986
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Bałaban, T
1987
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Federbush, P
1987
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