English

On the evaluation of universal non-perturbative constants in O(N) sigma models

High Energy Physics - Lattice 2009-10-30 v1 High Energy Physics - Theory

Abstract

We investigate the relation between on-shell and zero-momentum non-perturbative quantities entering the parametrization of the two-point Green's function of two-dimensional non-linear O(N) sigma models. We present accurate estimates of ratios of mass-scales and renormalization constants, obtained by an analysis of the strong-coupling expansion of the two-point Green's function. These ratios allow to connect exact known on-shell results with typical zero-momentum lattice evaluations. Our results are supported by the 1/N-expansion.

Keywords

Cite

@article{arxiv.hep-lat/9702010,
  title  = {On the evaluation of universal non-perturbative constants in O(N) sigma models},
  author = {M. Campostrini and A. Pelissetto and P. Rossi and E. Vicari},
  journal= {arXiv preprint arXiv:hep-lat/9702010},
  year   = {2009}
}

Comments

10 pages, revtex