Quark-antiquark potential in AdS at one loop

Details Quark-antiquark potential in AdS at one loop Quark-antiquark potential in AdS at one loop

2010-09-20

arxiv.org/abs/1009.3939v2

JHEP 1011:079,2010

Physics

High Energy Physics

High Energy Physics - Theory

16 pages. Typos corrected, minor changes

Scientific paper

10.1007/JHEP11(2010)079

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.

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