%0 Journal Article %1 Farchioni:1995ne %A Farchioni, Federico %A Hasenfratz, Peter %A Niedermayer, Ferenc %A Papa, Alessandro %D 1995 %J Nucl. Phys. %K D2 Instantons Lattice O3 PerfectAction %P 638-644 %R 10.1016/0550-3213(95)00460-A %T The Absence of cutoff effects for the fixed point action in one loop perturbation theory %U http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/9506032 %V B454 %X Abstract: In order to support the formal renormalization group arguments that the fixed point action of an asymptotically free model gives cut--off independent physical predictions in 1--loop perturbation theory, we calculate the finite volume mass--gap $m(L)$ in the non--linear $\sigma$--model. No cut--off effect of the type $g^4łeft(a/L\right)^n$ is seen for any $n$. The results are compared with those of the standard and tree level improved Symanzik actions.

@article{Farchioni:1995ne, abstract = { Abstract: In order to support the formal renormalization group arguments that the fixed point action of an asymptotically free model gives cut--off independent physical predictions in 1--loop perturbation theory, we calculate the finite volume mass--gap $m(L)$ in the non--linear $\sigma$--model. No cut--off effect of the type $g^4\left(a/L\right)^n$ is seen for any $n$. The results are compared with those of the standard and tree level improved Symanzik actions. }, added-at = {2009-03-05T18:34:52.000+0100}, archiveprefix = {arXiv}, author = {Farchioni, Federico and Hasenfratz, Peter and Niedermayer, Ferenc and Papa, Alessandro}, biburl = {https://www.bibsonomy.org/bibtex/2e0b140757ba99ed247ef238d8535bd77/gber}, description = {SPIRES-HEP: FIND EPRINT HEP-LAT/9506032}, doi = {10.1016/0550-3213(95)00460-A}, eprint = {hep-lat/9506032}, interhash = {8b252f4a3c54f7f459f16e881ffb53a4}, intrahash = {e0b140757ba99ed247ef238d8535bd77}, journal = {Nucl. Phys.}, keywords = {D2 Instantons Lattice O3 PerfectAction}, pages = {638-644}, slaccitation = {%%CITATION = HEP-LAT/9506032;%%}, timestamp = {2009-03-11T17:32:52.000+0100}, title = {{The Absence of cutoff effects for the fixed point action in one loop perturbation theory}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/9506032}, volume = {B454}, year = 1995 }