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Quark-antiquark potential in AdS at one loop

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Abstract

We derive an exact analytical expression for the one-loop partition function of a string in AdS 5 ×S 5 background with world-surface ending on two anti-parallel lines. All quantum fluctuations are shown to be governed by integrable, single-gap Lamé operators. The first strong coupling correction to the quark-antiquark potential, as defined in \( \mathcal{N} = 4 \) SYM, is derived as the sum of known mathematical constants and a one-dimensional integral representation. Its full numerical value can be given with arbitrary precision and confirms a previous result.

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Authors and Affiliations

  1. Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476, Potsdam, Germany

    Valentina Forini

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  1. Valentina Forini
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Correspondence to Valentina Forini.

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ArXiv ePrint:1009.3939

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Forini, V. Quark-antiquark potential in AdS at one loop. J. High Energ. Phys. 2010, 79 (2010). https://doi.org/10.1007/JHEP11(2010)079

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