pith. sign in

arxiv: 0903.3075 · v1 · submitted 2009-03-18 · ✦ hep-ph · hep-lat· hep-th

Cautionary remarks on the moduli space metric for multi-dyon simulations

classification ✦ hep-ph hep-lathep-th
keywords metricspacemodelmodulicollectivecoordinatesdyonsstrong
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.