Quark-antiquark potential in AdS at one loop
High Energy Physics - Theory
2011-06-21 v2
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.
Cite
@article{arxiv.1009.3939,
title = {Quark-antiquark potential in AdS at one loop},
author = {Valentina Forini},
journal= {arXiv preprint arXiv:1009.3939},
year = {2011}
}
Comments
16 pages. Typos corrected, minor changes