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Type: Journal article
Title: Cooling for instantons and the wrath of Nahm
Author: Bilson-Thompson, S.
Bonnet, F.
Leinweber, D.
Williams, A.
Citation: Nuclear Physics B - Proceedings Supplements, 2002; 109(1):116-120
Publisher: Elsevier Science BV
Issue Date: 2002
ISSN: 0920-5632
Organisation: Special Research Centre for the Subatomic Structure of Matter
Statement of
S. Bilson-Thompson, F. D. R. Bonnet, D. B. Leinweber and A. G. Williams
Abstract: The dynamics of instantons and anti-instantons in lattice QCD can be studied by analysing the action and topological charge of configurations as they approach a self-dual or anti-self-dual state, i.e. a state in which S/S_0=|Q|. We use cooling to reveal the semi-classical structure of the configurations we study. Improved actions which eliminate discretization errors up to and including O(a^4) are used to stabilise instantons as we cool for several thousand sweeps. An analogously improved lattice version of the continuum field-strength tensor is used to construct a topological charge free from O(a^4) discretization errors. Values of the action and topological charge obtained with these improved operators approach mutually-consistent integer values to within a few parts in 10^4 after several hundred cooling sweeps. Analysis of configurations with |Q| \approx 1 and |Q| \approx 2 supports the hypothesis that a self-dual |Q|=1 configuration cannot exist on the 4-torus.
Description: Copyright © 2002 Published by Elsevier Science B.V. All rights reserved. Copyright © 2001. Submitted to Cornell University’s online archive in 2001 by Sundance Osland Bilson-Thompson. Post-print sourced from
DOI: 10.1016/S0920-5632(02)01399-3
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Special Research Centre for the Subatomic Structure of Matter publications

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