A Scaling Hypothesis for the Spectral Densities in the O(3) Nonlinear Sigma-Model
High Energy Physics - Theory
2016-08-25 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9701156,
title = {A Scaling Hypothesis for the Spectral Densities in the O(3) Nonlinear Sigma-Model},
author = {J. Balog and M. Niedermaier},
journal= {arXiv preprint arXiv:hep-th/9701156},
year = {2016}
}
Comments
9 Pages, Latex, 3 Postscript Figures