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Correlation function of circular Wilson loops at strong coupling

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Abstract

We study the correlation function of two circular Wilson loops at strong coupling in \( \mathcal{N} \) = 4 super Yang-Mills theory. Using the AdS/CFT correspondence, the problem maps to finding the minimal surface between two circles defined on the boundary of AdS, and the fluctuations around the classical solution in AdS5 × S 5. At the classical level, we derive the string solution in ℍ3 ×S 1 explicitly, and focus on properties such as stability and phase transition. Furthermore, a computation of the associated algebraic curve is given. At the quantum level, the one-loop partition function is constructed by introducing quadratic bosonic and fermionic fluctuations around the classical solution, embedded in AdS5 × S 5. We find an analytic, formal expression for the partition function in terms of an infinite product by employing the Gel’fand-Yaglom method and supersymmetric regularization. We regulate the expression and evaluate the partition function numerically.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Uppsala University, SE-75108, Uppsala, Sweden

    Amit Dekel & Thomas Klose

  2. Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, 12489, Berlin, Germany

    Thomas Klose

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  1. Amit Dekel
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  2. Thomas Klose
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Correspondence to Amit Dekel.

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ArXiv ePrint: 1309.3203

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Dekel, A., Klose, T. Correlation function of circular Wilson loops at strong coupling. J. High Energ. Phys. 2013, 117 (2013). https://doi.org/10.1007/JHEP11(2013)117

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