Dynamical suppression of large instantons
Abstract
We investigate the distribution of instanton sizes in the framework of a simplified model for ensembles of instantons. This model takes into account the non-diluteness of instantons. The infrared problem for the integration over instanton sizes is dealt with in a self-consistent manner by approximating instanton interactions by a repulsive hard core potential. This leads to a dynamical suppression of large instantons. The characteristic features of the instanton size distribution are studied by means of analytic and Monte Carlo methods. We find a power law behaviour for small sizes, consistent with the semi-classical results. At large instanton sizes the distribution decays exponentially. The results are compared with those from lattice simulations.
Cite
@article{arxiv.hep-lat/0111017,
title = {Dynamical suppression of large instantons},
author = {Gernot Münster and Christel Kamp},
journal= {arXiv preprint arXiv:hep-lat/0111017},
year = {2010}
}
Comments
2 pages, 1 figure, talk presented at Lattice2001(confinement)