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(kpi/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) X SU(N) chiral models.
|Autori:||Del Debbio, L; Panagopoulos, H; Rossi, Paolo; Vicari, Ettore|
|Titolo:||k-string tensions in SU(N) gauge theories|
|Anno del prodotto:||2002|
|Digital Object Identifier (DOI):||10.1103/PhysRevD.65.021501|
|Appare nelle tipologie:||1.1 Articolo in rivista|