Center vortices and k-strings

Abstract

The vortex contribution to the $k$-string tensions is computed for SU($N$) gauge theories. We deduce the surface densities needed to reproduce the sine scaling and the Casimir scaling formulae, recently obtained from numerical simulations on the lattice. We find that such densities need to grow linearly in $N$, which in turn suggests that the vortex scenario can hardly reproduce the physics of confinement at large $N$.

Latex, 7 pages, 2 figures

References in corpus (5)

• Confining strings in SU(N) gauge theories
• Spectrum of confining strings in SU(N) gauge theories
• k-string tensions in SU(N) gauge theories
• The k=2 string tension in four dimensional SU(N) gauge theories
• Vortex waistlines and long range fluctuations

Cited by in corpus (11)

• Instantons at work
• SU(N) gauge theories at large N
• Introductory lectures to large-N QCD phenomenology and lattice results
• A lattice QCD study of generalized gluelumps
• k-String Tensions and Center Vortices at Large N
• Center symmetry and area laws
• SU(4) string tensions from the fat-center-vortices model
• k-string tensions in the 4-d SU(N)-inspired dual Abelian-Higgs-type theory
• k-string tensions in the 3-d SU(N) Georgi-Glashow model
• The effect of $SU(4)$ group factor in the thick center vortex potentials
• A three-dimensional scalar field theory model of center vortices and its relation to k-string tensions