%0 Journal Article %1 Hasenfratz:1993sp %A Hasenfratz, P. %A Niedermayer, F. %D 1994 %J Nucl. Phys. %K D2 Instantons Lattice PerfectAction SigmaModel Simulations %P 785-814 %R 10.1016/0550-3213(94)90261-5 %T Perfect lattice action for asymptotically free theories %U http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/9308004 %V B414 %X Abstract: 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.

@article{Hasenfratz:1993sp, abstract = { Abstract: 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. }, added-at = {2009-03-05T18:37:31.000+0100}, archiveprefix = {arXiv}, author = {Hasenfratz, P. and Niedermayer, F.}, biburl = {https://www.bibsonomy.org/bibtex/27d4b86ff9bcc9806a053af6037efc367/gber}, description = {SPIRES-HEP: FIND EPRINT HEP-LAT/9308004}, doi = {10.1016/0550-3213(94)90261-5}, eprint = {hep-lat/9308004}, interhash = {1f13fc36f91360dcbbcf5ffc9a0a7030}, intrahash = {7d4b86ff9bcc9806a053af6037efc367}, journal = {Nucl. Phys.}, keywords = {D2 Instantons Lattice PerfectAction SigmaModel Simulations}, pages = {785-814}, slaccitation = {%%CITATION = HEP-LAT/9308004;%%}, timestamp = {2009-03-11T17:34:55.000+0100}, title = {{Perfect lattice action for asymptotically free theories}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/9308004}, volume = {B414}, year = 1994 }