k-String Tensions and Center Vortices at Large N

Details k-String Tensions and Center Vortices at Large N k-String Tensions and Center Vortices at Large N

2002-09-06

arxiv.org/abs/hep-lat/0209088v1

JHEP 0209 (2002) 039

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages, 2 figures

Scientific paper

10.1088/1126-6708/2002/09/039

We point out that there is a natural explanation, in terms of the center vortex confinement mechanism, for the expected Casimir/Sine Law scaling of k-string tensions in the large N limit. The crucial ingredient is the existence of Z(N) center monopoles, which go over to U(1) monopoles in this limit. Vortex densities leading to Casimir/Sine Law scaling at large-N are constructed; these densities have no obvious pathologies and in particular do not grow with N. We also note that center vortices are stable classical solutions of the Wilson action, for all SU(N) gauge theories with N>4, and extend this old result to a broad class of lattice actions motivated by the improved action program and the renormalization group.

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