paper

Confining strings in SU(N) gauge theories

arXiv:hep-lat/0107007 · doi:10.1103/PhysRevD.64.105019

Abstract

We calculate the string tensions of -strings in SU() gauge theories in both 3 and 4 dimensions. In D=3+1, we find that the ratio of the string tension to the fundamental string tension is consistent, at the level, with both the M(-theory)QCD-inspired conjecture and with `Casimir scaling'. In D=2+1 we see a definite deviation from the MQCD formula, as well as a much smaller but still significant deviation from Casimir scaling. We find that in both D=2+1 and D=3+1 the high temperature spatial -string tensions also satisfy approximate Casimir scaling. We point out that approximate Casimir scaling arises naturally if the cross-section of the flux tube is nearly independent of the flux carried, and that this will occur in an effective dual superconducting description, if we are in the deep-London limit. We estimate, numerically, the intrinsic width of -strings in D=2+1 and indeed find little variation with . In addition to the stable -strings we investigate some ofthe unstable strings, finding in D=2+1 that they satisfy (approximate) Casimir scaling. We also investigate the basic assumption that confining flux tubes are described by an effective string theory at large distances. We estimate the coefficient of the universal Lüscher correction from periodic strings that are longer than 1 fermi, and find in D=3+1 and in D=2+1. These values are within of the simple bosonic string values and are inconsistent with other simple effective string theories.

57 pages, 11 figures. Errors on fits reduced by altering the analysis to a standard one. Conclusions unchanged; note addedchanged. Some typos corrected

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