Broadening of the confining flux tube joining higher-representation sources
Ferdinando Gliozzi, Pietro Giudice, Stefano Lottini
Abstract
In the context of confining gauge theories we study the flux tube generated by a pair of static sources belonging to higher rank representations of the gauge group. Using a simple geometric approach based on minimal surfaces describing the world-sheet of the underlying k-string, we infer logarithmic broadening of the flux tube as a function of source separation. It turns out that the coefficient of the logarithm does not depend on the specific representation of the source nor on its N-ality and is universal. Numerical results on a Z4 gauge theory in three dimensions with static sources carrying two units of elementary flux compare very favourably with these predictions.
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