Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/18091
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Comparison of |Q| =1 and |Q| =2 gauge-field configurations on the lattice four-torus |
Author: | Bilson-Thompson, S. Leinweber, D. Williams, A. Dunne, G. |
Citation: | Annals of Physics, 2004; 311(2):267-287 |
Publisher: | Academic Press Inc |
Issue Date: | 2004 |
ISSN: | 0003-4916 1096-035X |
Statement of Responsibility: | Sundance O. Bilson-Thompson, Derek B. Leinweber, Anthony G. Williams and Gerald V. Dunne |
Abstract: | It is known that exactly self-dual gauge-field configurations with topological charge Q = 1 cannot exist on the untwisted continuum four-torus. We explore the manifestation of this remarkable fact on the lattice four-torus for SU(3) using advanced techniques for controlling lattice discretization errors, extending earlier work of De Forcrand et al. for SU(2). We identify three distinct signals for the instability of Q = 1 configurations, and show that these signals manifest themselves early in the cooling process, long before the would-be instanton has shrunk to a size comparable to the lattice discretization threshold. These signals do not appear for the individual instantons which make up our Q = 2 configurations. This indicates that these signals reflect the truly global nature of the instability, rather than the local discretization effects which cause the eventual disappearance of the would-be single instanton. Monte-Carlo generated SU(3) gauge-field configurations are cooled to the self-dual limit using an O(a4)-improved gauge action chosen to have small but positive O(a6) errors. This choice prevents lattice discretization errors from destroying instantons provided their size exceeds the dislocation threshold of the cooling algorithm. Lattice discretization errors are evaluated by comparing the (a4)-improved gauge-field action with an O(a4)-improved action constructed from the square of an (a4)-improved lattice field-strength tensor, thus having different O(a6) discretization errors. The number of action-density peaks, the instanton size, and the topological charge of configurations is monitored. We observe a fluctuation in the total topological charge of Q = 1 configurations, and demonstrate that the onset of this unusual behavior corresponds with the disappearance of multiple-peaks in the action density. At the same time discretization errors are minimal. © 2004 Elsevier Inc. All rights reserved. |
Keywords: | Lattice QCD Cooling Improved operators Lattice gauge theory |
Description: | Copyright © 2004 Elsevier Inc. All rights reserved. Submitted to Cornell University’s online archive www.arXiv.org in 2004 by Sundance Osland Bilson-Thompson. Post-print sourced from www.arxiv.org. |
DOI: | 10.1016/j.aop.2003.12.011 |
Description (link): | http://www.elsevier.com/wps/find/journaldescription.cws_home/622784/description#description |
Published version: | http://dx.doi.org/10.1016/j.aop.2003.12.011 |
Appears in Collections: | Aurora harvest 6 Physics publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
hdl_18091.pdf | 741.41 kB | Publisher's post-print | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.