We extend our earlier work, regarding the perturbative stability of string configurations used for computing the interaction potential of heavy quarks within the gauge/gravity correspondence, to cover a more general class of gravity duals. We provide results, mostly based on analytic methods and corroborated by numerical calculations, which apply to strings in a general class of backgrounds that encompass boosted, spinning and marginally-deformed D3-brane backgrounds. For the case of spinning branes we demonstrate in a few examples that perturbative stability of strings may require strong conditions complementing those following by thermodynamic stability of the dual field theories. For marginally-deformed backgrounds, we find that even in the conformal case stability requires an upper value for the imaginary part a of the deformation parameter, whereas in regions of the Coulomb branch where there exists linear confinement we find that there exist stable string configurations for certain ranges of values of the parameter sigma. We finally discuss the case of open strings with fixed endpoints propagating in Rindler space, which turns out to have an exact classical-mechanical analog. (C) 2007 Elsevier B.V. All rights reserved.
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South China Normal Univ, Inst Quantum Matter, Sch Phys & Telecommun Engn, Guangzhou 510006, Guangdong, Peoples R China
Univ Witwatersrand, Natl Inst Theoret Phys, Sch Phys, ZA-2050 Johannesburg, South Africa
Univ Witwatersrand, Mandelstam Inst Theoret Phys, ZA-2050 Johannesburg, South AfricaSouth China Normal Univ, Inst Quantum Matter, Sch Phys & Telecommun Engn, Guangzhou 510006, Guangdong, Peoples R China
Koch, Robert de Mello
Gandote, Eunice
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Univ Witwatersrand, Natl Inst Theoret Phys, Sch Phys, ZA-2050 Johannesburg, South Africa
Univ Witwatersrand, Mandelstam Inst Theoret Phys, ZA-2050 Johannesburg, South AfricaSouth China Normal Univ, Inst Quantum Matter, Sch Phys & Telecommun Engn, Guangzhou 510006, Guangdong, Peoples R China
Gandote, Eunice
Huang, Jia-Hui
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South China Normal Univ, Inst Quantum Matter, Sch Phys & Telecommun Engn, Guangzhou 510006, Guangdong, Peoples R ChinaSouth China Normal Univ, Inst Quantum Matter, Sch Phys & Telecommun Engn, Guangzhou 510006, Guangdong, Peoples R China
机构:
CEA Saclay, Inst Phys Theor, CNRS, URA 2306, F-91191 Gif Sur Yvette, FranceCEA Saclay, Inst Phys Theor, CNRS, URA 2306, F-91191 Gif Sur Yvette, France
Giecold, G. C.
Iancu, E.
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CEA Saclay, Inst Phys Theor, CNRS, URA 2306, F-91191 Gif Sur Yvette, FranceCEA Saclay, Inst Phys Theor, CNRS, URA 2306, F-91191 Gif Sur Yvette, France
Iancu, E.
Mueller, A. H.
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Columbia Univ, Dept Phys, New York, NY 10027 USACEA Saclay, Inst Phys Theor, CNRS, URA 2306, F-91191 Gif Sur Yvette, France