Cautionary remarks on the moduli space metric for multi-dyon simulations
High Energy Physics - Phenomenology
2009-06-18 v1 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
We perform a detailed numerical investigation of the approximate moduli space metric proposed by Diakonov and Petrov [arXiv:0704.3181] for a confining model of dyons. Our findings strongly indicate that only for a small number of dyons at sufficiently low density this metric is positive definite - and, therefore, a valid moduli space metric - throughout a considerable part of configuration space. This poses strong limitations on results obtained by an unrestricted integration over collective coordinates in this model. It also indicates that strong correlations between collective coordinates will be essential for the physical content of a dyon model, which could be exhibited by a suitable simulation algorithm.
Cite
@article{arxiv.0903.3075,
title = {Cautionary remarks on the moduli space metric for multi-dyon simulations},
author = {Falk Bruckmann and Simon Dinter and Ernst-Michael Ilgenfritz and Michael Muller-Preussker and Marc Wagner},
journal= {arXiv preprint arXiv:0903.3075},
year = {2009}
}
Comments
20 pages, 6 figures