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Generalized quark-antiquark potential at weak and strong coupling

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arxiv 1105.5144 v1 pith:5MHK2SGH submitted 2011-05-25 hep-th

Generalized quark-antiquark potential at weak and strong coupling

classification hep-th
keywords theoryexpansionloopsorderpotentialquark-antiquarkwilsonall-loop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. Quark Anti-Quark Fusion and Walking RG Flows

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    Fusion of conjugate line defects exhibits walking RG at criticality with SL(2,R) Casimir fixing scheme-independent spectrum density, derived exactly in N=4 SYM via Quantum Spectral Curve.