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Quark-antiquark potential in AdS at one loop

Forini, V. ORCID: 0000-0001-9726-1423 (2010). Quark-antiquark potential in AdS at one loop. Journal of High Energy Physics, 2010, 79. doi: 10.1007/JHEP11(2010)079


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 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.

Publication Type: Article
Departments: School of Science & Technology > Mathematics
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