k-String Tensions and Center Vortices at Large N

Abstract

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.

23 pages, 2 figures

References in corpus (9)

• Confining strings in SU(N) gauge theories
• Gluon Chain Model of the Confining Force
• k-string tensions in SU(N) gauge theories
• Direct Laplacian Center Gauge
• The Maximal Abelian Gauge, Monopoles, and Vortices in SU(3) Lattice Gauge Theory
• Center-Vortex Solutions of the Yang-Mills Effective Action in Three and Four Dimensions
• Non-universal corrections to the tension ratios in softly broken N=2 SU(N) gauge theory
• Vortex waistlines and long range fluctuations
• Center vortices and k-strings

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• Center vortex model for the infrared sector of SU(4) Yang-Mills theory: String tensions and deconfinement transition
• Numerical indication that center vortices drive dynamical mass generation in QCD
• k-string tensions in the 3-d SU(N) Georgi-Glashow model
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• Comments on k-Strings at Large N
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