Confining strings in representations with common $n$-ality

Details Confining strings in representations with common $n$-ality Confining strings in representations with common $n$-ality

2003-08-12

arxiv.org/abs/hep-lat/0308012v1

JHEP 0309 (2003) 034

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 2 figures

Scientific paper

10.1088/1126-6708/2003/09/034

We study the spectrum of confining strings in SU(3) pure gauge theory, by means of lattice Monte Carlo simulations, using torelon operators in different representations of the gauge group. Our results provide direct evidence that the string spectrum is according to predictions based on $n$-ality. Torelon correlations in the rank-2 symmetric channel appear to be well reproduced by a two-exponential picture, in which the lowest state is given by the fundamental string $\sigma_1=\sigma$, the heavier string state is such that the ratio $\sigma_2/\sigma_1$ is approximately given by the Casimir ratio $C_{\rm sym}/C_{\rm f} = 5/2$, and the torelon has a much smaller overlap with the lighter fundamental string state.

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