Abstract
We give a simplified construction of “twist eating” configurations, based on a theorem due to Frobenius. These configurations are defined through the equation:U μ U ν U +μ U +ν =exp(2πin μν/N) withU μ∈SU(N), μ=1 tod andn μν an antisymmetric matrix with integer entries. In the (Twisted)-Eguchi-Kawai model they yield extrema some of which survive forN→∞. Comparison is made with the Monte Carlo data of the internal energy in the small coupling region.
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van Baal, P. Surviving extrema for the action on the twisted SU(∞) one point lattice. Commun.Math. Phys. 92, 1–18 (1983). https://doi.org/10.1007/BF01206312
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DOI: https://doi.org/10.1007/BF01206312