Quark-antiquark potential in AdS at one loop

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

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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.

Item Type: Article
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/19731

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