Heavy Quark Potential from Gauge/Gravity Duality: A Large D Analysis

Abstract

The heavy-quark potential is calculated in the framework of gauge/gravity duality using the large-D approximation, where D is the number of dimensions transverse to the flux tube connecting a quark and an antiquark in a flat D+2-dimensional spacetime. We find that in the large-D limit the leading correction to the ground-state energy, as given by an effective Nambu-Goto string, arises not from the heavy modes but from the behavior of the massless modes in the vicinity of the quark and the antiquark. We estimate this correction and find that it should be visible in the near-future lattice QCD calculations of the heavy-quark potential.

22 pages, 5 Figures. v2: references added, typos corrected and, Sec. 4 rewritten with an expanded non-perturbative discussion of the corrections to the Arvis potential arising from the massless modes near the boundary of the qcd string

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Cited by in corpus (7)

• The Effective Theory of Long Strings
• The Large D Limit of Einstein's Equations
• Effective string description of confining flux tubes
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• Effective QCD string beyond Nambu-Goto
• Scaling behavior of regularized bosonic strings
• Flux-tubes in confining gauge theories with gravitational dual