Semiclassical strings on confining backgrounds

We calculate the energy of a static string in an AdS slice between two D3-branes with orbifold condition. The energy for configurations with endpoints on a brane grows linearly for large separation between these points. The derivative of the energy has a discontinuity at some critical separation. Choosing a particular position for one of the branes we find configurations with smooth energy. In the limit where the other brane goes to infinity the energy has a Coulombian behaviour for short separations and can be identified with the Cornell potential for a quark anti-quark pair.This identification leads to effective values for the AdS radius, the string tension and the position of the infrared brane. These results suggest an approximate duality between static strings in an AdS slice and a heavy quark anti-quark configuration in a confining gauge theory.

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“…This kind of potential, with a linear and a Coulombian terms, has been also obtained from Wilson loops in other confining backgrounds [23,24,25].…”

Section: Fig 2: Energy As a Function Of String End-points Separationmentioning

confidence: 82%

“…For calculations of Wilson loops following Witten's proposal [7] for a confining geometry see for instance [22,23,24,25]. A discussion of Wilson loops associated with quark anti-quark potential in general spaces can be found in [26].…”

mentioning

confidence: 99%

Erratum: Static strings in Randall-Sundrum scenarios and the quark-antiquark potential [Phys. Rev. D73, 106006 (2006)]

Boschi-Filho¹,

Braga²,

Ferreira³

2006

Phys. Rev. D

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“…The potential has also been investigated in some AdS/QCD models [38,39]. Other important results can be found, for example, in [40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Heavy Quark Potential with Hyperscaling Violation

Zhang

Hou

et al. 2017

Advances in High Energy Physics

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We investigate the behavior of the heavy quark potential in the backgrounds with hyperscaling violation. The metrics are covariant under a generalized Lifshitz scaling symmetry with the dynamical Lifshitz parameter and hyperscaling violation exponent . We calculate the potential for a certain range of and and discuss how it changes in the presence of the two parameters. Moreover, we add a constant electric field to the backgrounds and study its effects on the potential. It is shown that the heavy quark potential depends on the nonrelativistic parameters. Also, the presence of the constant electric field tends to increase the potential.

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“…The radial coordinate u is bounded from below by its "horizon" value u h . String and field theory quantities are connected by the following relations [22,23]:…”

Section: Meson Decay In Qcd-like Theoriesmentioning

confidence: 99%

Splitting of Macroscopic Fundamental Strings in Flat Space and Holographic Hadron Decays

et al. 2007

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In this review article we present the calculation of the splitting rate in flat space of a macroscopic fundamental string either intersecting at a generic angle a Dp-brane or lying on it. The result is then applied, in the context of the string/gauge theory correspondence, to the study of exclusive decay rates of large spin mesons into mesons. As examples, we discuss the cases of N = 4 SYM with a small number of flavors, and of QCD-like theories in the quenched approximation. In the latter context, explicit analytic formulas are given for decay rates of mesons formed either by heavy quarks or by massless quarks.

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Semiclassical strings on confining backgrounds

Cited by 9 publications

References 38 publications

Erratum: Static strings in Randall-Sundrum scenarios and the quark-antiquark potential [Phys. Rev. D73, 106006 (2006)]

Erratum: Static strings in Randall-Sundrum scenarios and the quark-antiquark potential [Phys. Rev. D73, 106006 (2006)]

Heavy Quark Potential with Hyperscaling Violation

Splitting of Macroscopic Fundamental Strings in Flat Space and Holographic Hadron Decays

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