Luigi Del Debbio, Haralambos Panagopoulos, Paolo Rossi, Ettore Vicari
Published 2001-06-20, updated 2001-11-09Version 3
In the context of four-dimensional SU(N) gauge theories, we study the spectrum of the confining strings. We compute, for the SU(6) gauge theory formulated on a lattice, the three independent string tensions sigma_k related to sources with Z_N charge k=1,2,3, using Monte Carlo simulations. Our results, whose uncertainty is approximately 2% for k=2 and 4% for k=3, are consistent with the sine formula sigma_k/sigma = sin(k pi/N) / \sin(pi/N) for the ratio between sigma_k and the standard string tension sigma, and show deviations from the Casimir scaling. The sine formula is known to emerge in supersymmetric SU(N) gauge theories and in M-theory. We comment on an analogous behavior exhibited by two-dimensional SU(N)xSU(N) chiral models.
Comments: version accepted for publication in Phys Rev D (Rap Comm)
Journal: Phys.Rev. D65 (2002) 021501
Instanton Partons in 5-dim SU(N) Gauge Theory
On non-trivial spectra of trivial gauge theories
Topological susceptibility in the SU(3) gauge theory
