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Generalized quark-antiquark potential at weak and strong coupling

Drukker, N. and Forini, V. ORCID: 0000-0001-9726-1423 (2011). Generalized quark-antiquark potential at weak and strong coupling. Journal of High Energy Physics, 2011, 131.. doi: 10.1007/JHEP06(2011)131

Abstract

We study a two–parameter family of Wilson loop operators in N = 4 supersymmetric Yang-Mills theory which interpolates smoothly between the 1/2 BPS line or circle and a pair of antiparallel lines. These observables capture a natural generalization of the quark-antiquark potential. We calculate these loops on the gauge theory side to second order in perturbation theory and in a semiclassical expansion in string theory to one–loop order. The resulting determinants are given in integral form and can be evaluated numerically for general values of the parameters or analytically in a systematic expansion around the 1/2 BPS configuration. We comment about the feasibility of deriving all–loop results for these Wilson loops.

Publication Type: Article
Publisher Keywords: AdS-CFT Correspondence, Supersymmetric gauge theory
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/19723
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