Topology and confinement in SU(N) gauge theories

Oct, 2001

Citations per year

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Abstract:
The large N limit of SU(N) gauge theories in 3+1 dimensions is investigated on the lattice by extrapolating results obtained for 2N52 \le N \le 5. A numerical determination of the masses of the lowest-lying glueball states and of the topological susceptibility in the limit NN\to\infty is provided. Ratios of the tensions of stable k-strings over the tension of the fundamental string are investigated in various regimes and the results are compared with expectations based on several scenarios -- in particular MQCD and Casimir scaling. While not conclusive at zero temperature in D=3+1, in the other cases investigated our data seem to favour the latter.
Note:
  • 3 pages, 2 figures; talk presented by B. Lucini at Lattice2001(confinement)
  • talk: Berlin 2001/08/19
  • gauge field theory: SU(N)
  • lattice field theory
  • expansion 1/N
  • glueball: mass spectrum
  • susceptibility: topological
  • confinement
  • string tension: ratio
  • dimension: 4
  • dimension: 3