Cautionary remarks on the moduli space metric for multi-dyon simulations
| Autor: | Ernst-Michael Ilgenfritz, Falk Bruckmann, Simon Dinter, Marc Wagner, Michael Müller-Preussker |
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| Rok vydání: | 2009 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Thermal quantum field theory High Energy Physics - Lattice (hep-lat) FOS: Physical sciences Positive-definite matrix Space (mathematics) Moduli space Intrinsic metric Theoretical physics High Energy Physics - Phenomenology Classical mechanics High Energy Physics - Lattice High Energy Physics - Phenomenology (hep-ph) Dyon High Energy Physics - Theory (hep-th) Metric (mathematics) Configuration space |
| DOI: | 10.48550/arxiv.0903.3075 |
| Popis: | 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. Comment: 20 pages, 6 figures |
| Databáze: | OpenAIRE |
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