Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2011)111
Keywords
Gauge-gravity correspondence; AdS-CFT Correspondence; Lattice QCD
Categories
Funding
- Israel Science Foundation [1468/06]
- German Israel Project Cooperation [DIP H52]
- BSF
- European Network [MRTN-CT-2004-512194]
- European Union [MEXT-CT-2003-509661]
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Recently a remarkable agreement was found between lattice simulations of long Wilson lines and behavior of the Nambu Goto string in flat space-time. However, the latter fails to fit the short distance behavior since it admits a tachyonic mode for a string shorter than a critical length. In this paper we examine the question of whether a classical holographic Wilson line can reproduce the lattice results for Wilson lines of any length. We determine the condition on the the gravitational background to admit a Coulombic potential at short distances. We analyze the system using three different renormalization schemes. We perform an explicit best fit comparison of the lattice results with the holographic models based on near extremal D-3 and D-4 branes, non-critical near extremal AdS(6) model and the Klebanov Strassler model. We find that all the holographic models examined admit after renormalization a constant term in the potential. We argue that the curves of the lattice simulation also have such a constant term and we discuss its physical interpretation.
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