Wilson loops stability in the gauge/string correspondence

Details Wilson loops stability in the gauge/string correspondence Wilson loops stability in the gauge/string correspondence

2009-11-03

arxiv.org/abs/0911.0662v3

JHEP 1001:023,2010

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 36 figures. Reference added. Final version JHEP accepted

Scientific paper

10.1007/JHEP01(2010)023

We study the stability of some classical string worldsheet solutions employed for computing the potential energy between two static fundamental quarks in confining and non-confining gravity duals. We discuss the fixing of the diffeomorphism invariance of the string action, its relation with the fluctuation orientation and the interpretation of the quark mass substraction worldsheet needed for computing the potential energy in smooth (confining) gravity background. We consider various dual gravity backgrounds and show by a numerical analysis the existence of instabilities under linear fluctuations for classical string embedding solutions having positive length function derivative $L'(r_0)>0$. Finally we make a brief discussion of 't Hooft loops in non-conformal backgrounds.

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