Quantum broadening of k-strings in gauge theories

Abstract

We study the thickness of the confining flux tube generated by a pair of sources in higher representations of the gauge group. Using a simple geometric picture we argue that the area of the cross-section of the flux tube, as measured by a Wilson loop probe, grows logarithmically with source separation, as a consequence of the quantum fluctuations of the underlying k-string. The slope of the logarithm turns out to be universal, i.e. it is the same for all the representations and all the gauge theories. We check these predictions in a 3D Z_4 lattice gauge model by comparing the broadening of the 1-string and the 2-string.

15 pages, 5 figures

References in corpus (5)

• Universality of k-string Tensions from Holography and the Lattice
• Study of the flux tube thickness in 3d LGT's by means of 2d spin models
• Baryon vertices in AdS black hole backgrounds
• Quantum fluctuations of k-strings: A case study
• Broadening of the confining flux tube joining higher-representation sources

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