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

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arxiv hep-lat/0103027 v2 pith:BMB7B7UY submitted 2001-03-23 hep-lat hep-phhep-th

B. Lucini , M. Teper This is my paper · ORCID
classification hep-lathep-phhep-th
keywords gaugelimitapproachcalculatefindinfinitylarge-nlattice
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The mass of the gluino-glue bound state in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang-Mills theory

    hep-lat 2024-12 conditional novelty 7.0 of 10

    A first-principles lattice calculation determines the mass of the gluino-glue bound state in N=1 supersymmetric Yang-Mills theory in the large-N limit.

  2. Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory

    hep-lat 2025-01 unverdicted novelty 4.0 of 10

    High-precision lattice computation yields χ_top^{1/4} = 198.1(0.7)(2.7) MeV for SU(3) Yang-Mills after continuum and infinite-volume extrapolation from seven spacings and volumes.

  3. The imaginary-$\theta$ dependence of the SU($N$) spectrum

    hep-lat 2024-11 conditional novelty 4.0 of 10

    The theta-squared curvature of the SU(3) glueball mass and string tension is measured in the continuum, and the N=3 and N=6 data support the expected large-N 1/N^2 scaling.

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