Continuum behavior in the lattice O(3) sigma model
Abstract
By collective Monte Carlo techniques we simulate the twodimensional O(3) σmodel at large correlation lengths up to 121. We determine both the nonperturbative mass and the asymptotic freedom scale ΛMS in lattice units by fits of the twopoint function at separations large compared to the lattice spacing. For their dimensionless ratio we find the value m/ΛMS=2.5(1). Asymptotic scaling with the bare lattice coupling is still absent.
 Publication:

Physics Letters B
 Pub Date:
 May 1989
 DOI:
 10.1016/03702693(89)90347X
 Bibcode:
 1989PhLB..222..473W