Abstract
A class of gauge-invariant coarse lattice to fine lattice transformations is constructed for pure lattice gauge theories. Coarse-to-fine transformations will play an essential role in multigrid Monte Carlo updating algorithms which are believed to cope with the problem of critical slowing down. Efficiency estimates for multigrid Monte Carlo updating algorithms are given and preliminary results from the implementation of such an algorithm for four-dimensional U(1) lattice gauge theory are reported.
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