k-String tensions and their large-N dependence
Nov, 20117 pages
Published in:
- PoS LATTICE2011 (2011) 267
Contribution to:
e-Print:
- 1111.0901 [hep-lat]
DOI:
Report number:
- CERN-PH-TH-2011-263
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Abstract: (arXiv)
We consider whether the 1/N corrections to k-string tensions must begin at order 1/N^2, as in the Sine Law, or whether odd powers of 1/N, as in Casimir Scaling, are also acceptable. The issue is important because different models of confinement differ in their predictions for the representation-dependence of k-string tensions, and corrections involving odd powers of 1/N would seem to be ruled out by the large-N expansion. We show, however, that k-string tensions may, in fact, have leading 1/N corrections, and consistency with the large-N expansion, in the open string sector, is achieved by an exact pairwise cancellation among terms involving odd powers of 1/N in particular combinations of Wilson loops. It is shown how these cancellations come about in a concrete example, namely, strong coupling lattice gauge theory with the heat-kernel action, in which k-string tensions follow the Casimir scaling rule.- scaling: Casimir
- model: confinement
- string: open
- string tension: dependence
- expansion 1/N
- heat kernel
- Wilson loop
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