Critical couplings and string tensions from two-lattice matching of RG decimations
Cheng, X. · Tomboulis, E. T.
Original · EN
Critical couplings and string tensions in SU(2) and SU(3) lattice gauge theory are calculated by two-lattice matching of RG block transformations. The transformations are of the potential moving type generating plaquette actions with large number of group characters and exhibit rapid approach to a unique renormalized trajectory. Fixing the critical coupling β(Nτ) at one value of temporal lattice extent Nτ by MC simulation, the critical couplings for other values of Nτ are then obtained by lattice matching of these decimations. β(Nτ) values are thus obtained for a range of Nτ and found to be in agreement with MC simulation results to within a few percent in all cases. A similar procedure allows the calculation of string tensions for a range of β values with similarly good agreement with MC data.
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