Conference Paper/Proceeding/Abstract 1083 views
The Large N Limit from the Lattice
Few-Body Systems, Volume: "36", Issue: 1-4, Pages: 161 - 166
Swansea University Author:
Biagio Lucini
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DOI (Published version): 10.1007/s00601-004-0094-7
Abstract
A numerical study of the string tension and of the masses of the lowest-lying glueballs is performed in SU($N$) gauge theories for $2 \le N \le 8$ in D=3+1 and $2 \le N \le 6$ in D=2+1. It is shown that for the string tension a smooth $N \to \infty$ limit exists that depends only on the 't Hoof...
| Published in: | Few-Body Systems |
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| ISSN: | 0177-7963 1432-5411 |
| Published: |
2004
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa27940 |
| Abstract: |
A numerical study of the string tension and of the masses of the lowest-lying glueballs is performed in SU($N$) gauge theories for $2 \le N \le 8$ in D=3+1 and $2 \le N \le 6$ in D=2+1. It is shown that for the string tension a smooth $N \to \infty$ limit exists that depends only on the 't Hooft coupling $\lambda = g^2 N$. An extrapolation of the masses of the lightest glueballs to $N = \infty$ using a power series in $1/N^2$ shows that the leading correction to the infinite $N$ value accounts for finite $N$ effects for $N$ at least as small as 3 and all the way down to N=2 in many cases. $k$-string tension ratios and possible issues connected with correlation functions at large $N$ are also discussed. |
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| College: |
Faculty of Science and Engineering |
| Issue: |
1-4 |
| Start Page: |
161 |
| End Page: |
166 |