2006
DOI: 10.1016/j.physletb.2005.10.092
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Matrix at strong coupling

Abstract: We describe the strong coupling limit (g->infty) for the Yang--Mills type matrix models. In this limit the dynamics of the model is reduced to one of the diagonal components which is characterized by a linearly confining potential. We also shortly discuss the case of the pure Yang--Mills model in more than one dimension.Comment: 15 pages, text improved, misprints corrected, a comment and new references adde

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“…If at the same time the Yang-Mills coupling is small enough, the one loop term becomes dominant also over the higher loop contributions. As discussed in [35] (see [36] for the background), at the large value of coupling in front of the commutator term causes configurations with non-vanishing commutator to be statistically suppressed. In the extremal case, when βg 2 YM → ∞, the field is forced to remain in the valley of the potential i.e.…”
Section: Spin Chain Gas At Low Temperaturementioning
confidence: 99%
“…If at the same time the Yang-Mills coupling is small enough, the one loop term becomes dominant also over the higher loop contributions. As discussed in [35] (see [36] for the background), at the large value of coupling in front of the commutator term causes configurations with non-vanishing commutator to be statistically suppressed. In the extremal case, when βg 2 YM → ∞, the field is forced to remain in the valley of the potential i.e.…”
Section: Spin Chain Gas At Low Temperaturementioning
confidence: 99%