Wilson loops stability in the gauge/string correspondence
release_zbbi2fr5fvcpfaqxikoo4po3fe
by
Raul E. Arias,
Guillermo A. Silva
2009
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'(r_0)>0. Finally we make a brief discussion of 't Hooft loops in
non-conformal backgrounds.
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