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SU(N) gauge theories in 2+1 dimensions -- further results

B. Lucini·M. Teper
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Abstract

We calculate the string tension and part of the mass spectrum of SU(4) and SU(6) gauge theories in 2+1 dimensions using lattice techniques. We combine these new results with older results for N=2,...,5 so as to obtain more accurate extrapolations to N=infinity. The qualitative conclusions of the earlier work are unchanged: SU(N) theories in 2+1 dimensions are linearly confining as N->infinity; the limit is achieved by keeping g.g.N fixed; SU(3), and even SU(2), are `close' to SU(infinity). We obtain more convincing evidence than before that the leading large-N correction is O(1/N.N). We look for the multiplication of states that one expects in simple flux loop models of glueballs, but find no evidence for this.

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B. Lucini, M. Teper. 2002-06-24. SU(N) gauge theories in 2+1 dimensions -- further results. https://doi.org/10.1103/physrevd.66.097502

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