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Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators
Journal of High Energy Physics, Volume: "0406", Issue: 06, Pages: 012 - 012
Swansea University Author:
Biagio Lucini
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DOI (Published version): 10.1088/1126-6708/2004/06/012
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....
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
2004
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| Online Access: |
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| 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. |
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| College: |
Faculty of Science and Engineering |
| Issue: |
06 |
| Start Page: |
012 |
| End Page: |
012 |