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The Large N Limit from the Lattice

B. Lucini, Biagio Lucini Orcid Logo

Few-Body Systems, Volume: "36", Issue: 1-4, Pages: 161 - 166

Swansea University Author: Biagio Lucini Orcid Logo

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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...

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Published in: Few-Body Systems
ISSN: 0177-7963 1432-5411
Published: 2004
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URI: https://cronfa.swan.ac.uk/Record/cronfa27940
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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.
College: Faculty of Science and Engineering
Issue: 1-4
Start Page: 161
End Page: 166