Open AccessSU(N) gauge theories in four dimensions: exploring the approach to N = ∞
Author(s) -
Biagio Lucini,
Mike Teper
Publication year - 2001
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2001/06/050
Subject(s) - glueball , instanton , physics , extrapolation , coupling constant , gauge theory , lattice gauge theory , lattice (music) , limit (mathematics) , topological quantum number , lattice constant , lattice field theory , mathematical physics , theoretical physics , particle physics , quantum mechanics , quantum chromodynamics , mathematics , statistics , mathematical analysis , acoustics , diffraction
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 thecontinuum 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 bykeeping a constant 't Hooft coupling. We also calculate the topological chargeof the gauge fields. We observe that, as expected, the density of small-sizeinstantons vanishes rapidly as N increases, while the topologicalsusceptibility appears to have a non-zero N=infinity limit.
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