Analytic solution inSU(N) lattice-gauge model of Migdal |
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Authors: | N Tanimura W Scheid O Tanimura |
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Institution: | 1. Institut für Theoretische Physik, Universit?t, W-6300, Gie?en, Federal Republic Germany 2. Araki 1160, Fukumitsu, Toyama, Japan
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Abstract: | Migdal's renormalization group transformation for theSU (N) pure lattice-gauge model is solved in the weak coupling regime by a perturbative expansion in the coupling constant. The heat-kernel model is shown to be a low-order perturbative solution of the Migdal recursion relation. The parameters of the -function are fixed within theSU (N) Migdal model. The critical coupling constant of the deconfining phase transition is approximately calculated and compared with constants obtained by the heat-kernel model and numerical calculations. The improved actions for theSU (2) andSU (3) are presented for realistic lattice-gauge methods such as the Monte Carlo simulation. |
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