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

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

2009-03-18

arxiv.org/abs/0903.3075v1

Phys.Rev.D79:116007,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 6 figures

Scientific paper

10.1103/PhysRevD.79.116007

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.

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