Quantum broadening of k-strings in gauge theories
Author(s) -
Pietro Giudice,
F. Gliozzi,
Stefano Lottini
Publication year - 2007
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2007/01/084
Subject(s) - physics , lattice gauge theory , string (physics) , logarithm , theoretical physics , gauge (firearms) , quantum , gauge theory , wilson loop , lattice (music) , quantum mechanics , quantum electrodynamics , mathematics , mathematical analysis , archaeology , history , acoustics
We study the thickness of the confining flux tube generated by a pair ofsources in higher representations of the gauge group. Using a simple geometricpicture we argue that the area of the cross-section of the flux tube, asmeasured by a Wilson loop probe, grows logarithmically with source separation,as a consequence of the quantum fluctuations of the underlying k-string. Theslope of the logarithm turns out to be universal, i.e. it is the same for allthe representations and all the gauge theories. We check these predictions in a3D Z_4 lattice gauge model by comparing the broadening of the 1-string and the2-string.Comment: 15 pages, 5 figure
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