SU(N) gauge theories in four dimensions: exploring the approach to N = infinity

By Biagio Lucini, M. Teper. 2001

197 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/925af55434c0eff27442dc1533b4070ed04df1b8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

Thermal transport and drag force in improved holographic QCD (2009, background): “Although several lattice data are known at large-Nc, [65], others are not.”
Improved holographic Yang–Mills at finite temperature: Comparison with data (2009, background): “HQCD Nc = 3 [28] Nc = ∞ [29] m0∗++/m0++ 1.”
Improved Holographic QCD (2010, background): “The results for the parity-conserving sector are shown in Table 1, and are in good agreement with those reported by [61] for Nc = 3, whereas the results reported by [62] for large Nc are somewhat larger.”