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

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

1997-02-10

arxiv.org/abs/hep-lat/9702010v1

Phys.Lett. B402 (1997) 141-146

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, revtex

Scientific paper

10.1016/S0370-2693(97)00456-5

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.

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