Corrections to finitesize scaling in twodimensional O( N) σmodels
Abstract
We have considered the corrections to the finitesizescaling functions for a general class of O(N) σmodels with twospin interactions in two dimensions for N = ∞. We have computed the leading corrections finding that they generically behave as ( f( z) logL + g( z))/ L^{2} where z = m( L) L and m( L) is a mass scale; f( z) vanishes for Symanzik improved actions for which the inverse propagator behaves as q^{2} + O( q^{6}), for small q, but not for onshell improved ones. We also discuss a model with fourspin interactions which shows a much more complicated behaviour.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 February 1997
 DOI:
 10.1016/S09205632(96)007566
 arXiv:
 arXiv:heplat/9607013
 Bibcode:
 1997NuPhS..53..693C
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 Talk presented at LATTICE96(other models) Postscript file avalaible at http://www1.le.infn.it:8080/~caraccio/TCMS.html