Quantum Broadening of k-Strings from the AdS/CFT Correspondence

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, LaTex. v2: minor changes, references added. To appear in Nucl.Phys.B

Scientific paper

10.1016/j.nuclphysb.2008.04.022

We study the quantum broadening (width) of k-strings. We generalise an old result by Luscher, Munster and Weisz to the case of a k-string, by using the gauge/gravity correspondence. When the fundamental QCD-string is replaced by a bound state of k strings, the bound state is better described by a wrapped D-brane. We calculate the width of the k-string (the wrapped D-brane) in several AdS/CFT backgrounds by using a D-brane probe and find universally that omega_k ^2 = 1 / (2\pi \sigma_k) log R/r .

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