k-string tensions in SU(N) gauge theories

Preprint

9 November 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0106185

Abstract

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.

Keywords

All Related Versions

Version 1, 2001-06-20, ArXiv
Version 2, 2001-07-13, ArXiv
Version 3, 2001-11-09, ArXiv
Published version: Physical Review D, 65 (2), 021501.

This publication has 0 references indexed in Scilit: