On the evaluation of universal nonperturbative constants in O(N) σ models
Abstract
We investigate the relation between onshell and zeromomentum nonperturbative quantities entering the parametrization of the twopoint Green function of twodimensional nonlinear O(N) σ models. We present accurate estimates of ratios of mass scales and renormalization constants, obtained by an analysis of the strongcoupling expansion of the twopoint Green function. These ratios allow to connect the exact onshell results of Hasenfratz et al. [Phys. Lett. B 245 (1990) 522], Hasenfratz and Niedermayer [Phys. Lett. B 245 (1990) 529] and Balog and Niedermaier [hepth/9612039] with typical zeromomentum lattice evaluations. Our results are supported by the 1/Nexpansion.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(97)004565
 arXiv:
 arXiv:heplat/9702010
 Bibcode:
 1997PhLB..402..141C
 Keywords:

 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 10 pages, revtex