We have considered the corrections to the finite-size-scaling functions for a general class of O(N) σ-models with two-spin interactions in two dimensions for N = ∞. We have computed the leading corrections finding that they generically behave as ( f( z) logL + g( z))/ L2 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 q2 + O( q6), for small q, but not for on-shell improved ones. We also discuss a model with four-spin interactions which shows a much more complicated behaviour.
Nuclear Physics B Proceedings Supplements
- Pub Date:
- February 1997
- High Energy Physics - Lattice
- Talk presented at LATTICE96(other models) Postscript file avalaible at http://www1.le.infn.it:8080/~caraccio/TCMS.html