Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-03-23
JHEP 0106:050,2001
Physics
High Energy Physics
High Energy Physics - Lattice
Discussion on the correlation time of the topological charge improved and 1 figure added; other minor changes; conclusions unc
Scientific paper
10.1088/1126-6708/2001/06/050
We calculate the string tension, K, and some of the lightest glueball masses, M, in 3+1 dimensional SU(N) lattice gauge theories for N=2,3,4,5 . From the continuum extrapolation of the lattice values, we find that the mass ratios, M/sqrt(K), appear to show a rapid approach to the large-N limit, and, indeed, can be described all the way down to SU(2) using just a leading O(1/NxN) correction. We confirm that the smooth large-N limit we find, is obtained by keeping a constant 't Hooft coupling. We also calculate the topological charge of the gauge fields. We observe that, as expected, the density of small-size instantons vanishes rapidly as N increases, while the topological susceptibility appears to have a non-zero N=infinity limit.
Lucini Biagio
Teper Michael
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