Quark-antiquark potential in AdS at one loop

Forini, Valentina

doi:10.1007/JHEP11(2010)079

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Quark-antiquark potential in AdS at one loop

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Forini, Valentina
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1009.3939
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Citation

Forini, V. (2010). Quark-antiquark potential in AdS at one loop. Journal of High Energy Physics, 2010(11): 079, pp. 1-16. doi:10.1007/JHEP11(2010)079.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-C966-A

Abstract

We derive an exact analytical expression for the one-loop partition function of a string in AdS_5xS^5 background with world-surface ending on two anti-parallel lines. All quantum fluctuations are shown to be governed by integrable, single-gap Lame' operators. The first strong coupling correction to the quark-antiquark potential, as defined in 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.