Neural multigrid for gauge theories and other disordered systems

Details Neural multigrid for gauge theories and other disordered systems Neural multigrid for gauge theories and other disordered systems

1992-09-21

arxiv.org/abs/hep-lat/9209021v1

Int.J.Mod.Phys.C4:239-247,1993

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages [2 figures appended in PostScript format], preprint DESY 92-126, Sept. 1992

Scientific paper

10.1142/S0129183193000252

We present evidence that multigrid works for wave equations in disordered systems, e.g. in the presence of gauge fields, no matter how strong the disorder, but one needs to introduce a "neural computations" point of view into large scale simulations: First, the system must learn how to do the simulations efficiently, then do the simulation (fast). The method can also be used to provide smooth interpolation kernels which are needed in multigrid Monte Carlo updates.

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