Abstract
The SU(3) lattice gauge theory at zero and finite temperatures is investigated in Migdal renor malization group approach. At zero temperature, the coupling constant renormalization is studied by unique renormalized trajectory method. For bare theory starting from the Wilson action, crossover behavior is obtained and for bare theory starting from the mixed action with large /3a (adjoint representation coupling), sharp stepwise transition is observed. At finite temperatures, the renormalization flow and the internal energy show a clear deconfinement phase transition. The internal energy at high temperatures shows T4 behavior reminiscent of the Stefan-Boltzmann law. The deconfining temperature exhibits renormalization group scaling law. The scaling behavior obtained by coupling constant renormalization at T=O and that by deconfinement transition is compared with each other and found to be consistent.
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