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Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators / Michael Teper, Urs Wenger, Biagio Lucini

Journal of High Energy Physics, Volume: "0406", Issue: 06, Pages: 012 - 012

Swansea University Author: Biagio Lucini

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Abstract

We test a variety of blocking and smearing algorithms for constructing glueball and string wave-functionals, and find some with much improved overlaps onto the lightest states. We use these algorithms to obtain improved results on the tensions of k-strings in SU(4), SU(6), and SU(8) gauge theories....

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2004
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa27945
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Abstract: We test a variety of blocking and smearing algorithms for constructing glueball and string wave-functionals, and find some with much improved overlaps onto the lightest states. We use these algorithms to obtain improved results on the tensions of k-strings in SU(4), SU(6), and SU(8) gauge theories. We emphasise the major systematic errors that still need to be controlled in calculations of heavier k-strings, and perform calculations in SU(4) on an anisotropic lattice in a bid to minimise one of these. All these results point to the k-string tensions lying part-way between the `MQCD' and `Casimir Scaling' conjectures, with the power in 1/N of the leading correction lying in [1,2]. We also obtain some evidence for the presence of quasi-stable strings in calculations that do not use sources, and observe some near-degeneracies between (excited) strings in different representations. We also calculate the lightest glueball masses for N=2, ...,8, and extrapolate to N=infinity, obtaining results compatible with earlier work. We show that the N=infinity factorisation of the Euclidean correlators that are used in such mass calculations does not make the masses any less calculable at large N.
College: College of Science
Issue: 06
Start Page: 012
End Page: 012