Improved superposition schemes for approximate multi-caloron configurations
Abstract
Two improved superposition schemes for the construction of approximate multi-caloron-anticaloron configurations, using exact single (anti)caloron gauge fields as underlying building blocks, are introduced in this paper. The first improvement deals with possible monopole-Dirac string interactions between different calorons with non-trivial holonomy. The second one, based on the ADHM formalism, improves the (anti-)selfduality in the case of small caloron separations. It conforms with Shuryak's well-known ratio-ansatz when applied to instantons. Both superposition techniques provide a higher degree of (anti-)selfduality than the widely used sum-ansatz, which simply adds the (anti)caloron vector potentials in an appropriate gauge. Furthermore, the improved configurations (when discretized onto a lattice) are characterized by a higher stability when they are exposed to lattice cooling techniques.
Keywords
Cite
@article{arxiv.hep-ph/0610426,
title = {Improved superposition schemes for approximate multi-caloron configurations},
author = {Philipp Gerhold and Ernst-Michael Ilgenfritz and Michael Müller-Preussker},
journal= {arXiv preprint arXiv:hep-ph/0610426},
year = {2008}
}
Comments
New version accepted for publication in Nucl. Phys. B. Text partly shortened, changes in the introduction, new results added on the comparison with exact solutions