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It is shown that the standard SU(2) lattice gauge theory is in a confining phase for all values of the coupling, 0<β<∞, and $d<~4$. The main idea is to show that the electricflux free energy is bounded by expressions resulting from approximate (Migdal-Kadanoff) renormalization-group transformations.
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E. T. Tomboulis (1983) studied this question.
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