The Width of the Color Flux Tube at 2-Loop Order

Details The Width of the Color Flux Tube at 2-Loop Order The Width of the Color Flux Tube at 2-Loop Order

2010-06-11

arxiv.org/abs/1006.2252v2

JHEP 1011:053,2010

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, no figures. Version published in JHEP; revised discussion on lattice artifacts; typos corrected

Scientific paper

10.1007/JHEP11(2010)053

The color flux tube connecting a static quark-anti-quark pair in Yang-Mills theory supports massless transverse fluctuations, which are the Goldstone bosons of spontaneously broken translation invariance. Just as in chiral perturbation theory, the dynamics of these Goldstone bosons is described by a systematic low-energy effective field theory. We use the effective theory to calculate the width of the fluctuating string at the 2-loop level, using both cylindrical and toroidal boundary conditions. At zero temperature, the string width diverges logarithmically with the quark-anti-quark distance r. On the other hand, at low but non-zero temperature T = 1/\beta, for r >> \beta, the string width diverges linearly.

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