Wilson loops stability in the gauge/string correspondence

Abstract

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 $L^{\prime }(r_0)>0$. Finally we make a brief discussion of 't Hooft loops in non-conformal backgrounds.

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

References in corpus (6)

• Holographic Wilson Loops
• The Klebanov-Strassler model with massive dynamical flavors
• Dynamics of Flux Tubes in Large N Gauge Theories
• Stability of strings dual to flux tubes between static quarks in N=4 SYM
• Stability of string configurations dual to quarkonium states in AdS/CFT
• Stability issues with baryons in AdS/CFT

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• Holographic explorations of regular black holes in pure gravity
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• Comments on the T-dual of the gravity dual of D5-branes on $S^3$
• Revisiting Wilson loops for nonrelativistic backgrounds
• Wilson loops in exact holographic RG flows at zero and finite temperature
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