Perfect lattice action for asymptotically free theories

Details Perfect lattice action for asymptotically free theories Perfect lattice action for asymptotically free theories

1993-08-05

arxiv.org/abs/hep-lat/9308004v2

Nucl.Phys.B414:785-814,1994

Physics

High Energy Physics

High Energy Physics - Lattice

29 pages(part 1) + 9 postscript figures(part 2, compressed by uufiles). No changes, replaced due to transmission error observe

Scientific paper

10.1016/0550-3213(94)90261-5

There exist lattice actions which give cut--off independent physical predictions even on coarse grained lattices. Rotation symmetry is restored, the spectrum becomes exact and, in addition, the classical equations have scale invariant instanton solutions. This perfect action can be made short ranged. It can be determined by combining analytical calculations with numerical simulations on small lattices. We illustrate the method and the benefits on the $d=2$ non--linear $\sigma$--model.

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