A Scaling Hypothesis for the Spectral Densities in the O(3) Nonlinear Sigma-Model

Details A Scaling Hypothesis for the Spectral Densities in the O(3) Nonlinear Sigma-Model A Scaling Hypothesis for the Spectral Densities in the O(3) Nonlinear Sigma-Model

1997-01-28

arxiv.org/abs/hep-th/9701156v1

Phys.Rev.Lett. 78 (1997) 4151-4154

Physics

High Energy Physics

High Energy Physics - Theory

9 Pages, Latex, 3 Postscript Figures

Scientific paper

10.1103/PhysRevLett.78.4151

A scaling hypothesis for the n-particle spectral densities of the O(3) nonlinear sigma-model is described. It states that for large particle numbers the n-particle spectral densities are ``self-similar'' in being basically rescaled copies of a universal shape function. This can be viewed as a 2-dimensional, but non-perturbative analogue of the KNO scaling in QCD. Promoted to a working hypothesis, it allows one to compute the two point functions at ``all'' energy or length scales. In addition, the values of two non-perturbative constants (needed for a parameter-free matching of the perturbative and the non-perturbative regime) are determined exactly.

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