Critical couplings and string tensions from two-lattice matching of RG decimations
Terry E. Tomboulis, Xi Cheng · Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012) · 2012
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 (N τ ) at one value of temporal lattice extent N τ by MC simulation, the critical couplings for other values of N τ are then obtained by lattice matching of these decimations.β (N τ ) values are thus obtained for a range of N τ 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.