Perturbative versus Non-perturbative QFT -- Lessons from the O(3) NLS Model

Details Perturbative versus Non-perturbative QFT -- Lessons from the O(3) NLS Model Perturbative versus Non-perturbative QFT -- Lessons from the O(3) NLS Model

1996-04-25

arxiv.org/abs/hep-th/9604161v3

Phys.Lett. B386 (1996) 224-232

Physics

High Energy Physics

High Energy Physics - Theory

13 pages LaTex, 4 PostScript figures; version published in Physics Letters B

Scientific paper

10.1016/0370-2693(96)00906-9

The two-point functions of the energy-momentum tensor and the Noether current are used to probe the O(3) nonlinear sigma model in an energy range below 10^4 in units of the mass gap $m$. We argue that the form factor approach, with the form factor series trunctated at the 6-particle level, provides an almost exact solution of the model in this energy range. The onset of the (2-loop) perturbative regime is found to occur only at energies around $100m$.

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