The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal N=4$ Super Yang-Mills Vacuum

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Updated version with minor typo corrections and new references

Scientific paper

10.1088/1126-6708/2009/08/004

Applying the AdS/CFT correspondence, the expansion of the heavy-quark potential of the ${\cal N}=4$ supersymmetric Yang-Mills theory at large $N_c$ is carried out to the sub-leading term in the large 't Hooft coupling at zero temperature. The strong coupling corresponds to the semi-classical expansion of the string-sigma model, the gravity dual of the Wilson loop operator, with the sub-leading term expressed in terms of functional determinants of fluctuations. The singularities of these determinants are examined and their contributions are evaluated numerically.

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