Stability of strings dual to flux tubes between static quarks in N=4 SYM

Details Stability of strings dual to flux tubes between static quarks in N=4 SYM Stability of strings dual to flux tubes between static quarks in N=4 SYM

2006-12-13

arxiv.org/abs/hep-th/0612139v3

Nucl.Phys.B769:44-78,2007

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, 18 figures; v3: typos corrected

Scientific paper

10.1016/j.nuclphysb.2007.01.026

Computing heavy quark-antiquark potentials within the AdS/CFT correspondence often leads to behaviors that differ from what one expects on general physical grounds and field-theory considerations. To isolate the configurations of physical interest, it is of utmost importance to examine the stability of the string solutions dual to the flux tubes between the quark and antiquark. Here, we formulate and prove several general statements concerning the perturbative stability of such string solutions, relevant for static quark-antiquark pairs in a general class of backgrounds, and we apply the results to N=4 SYM at finite temperature and at generic points of the Coulomb branch. In all cases, the problematic regions are found to be unstable and hence physically irrelevant.

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