Generalized quark-antiquark potential at weak and strong coupling
By N. Drukker, V. Forini. 2011
167 citations recorded by the source corpus.
We study a two-parameter family of Wilson loop operators in $ \mathcal{N} = 4 $ super-symmetric 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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/264fe4e5cb10f39b391c932c1c5621f0f256914f
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In Nuclear and High Energy Physics
Citations in the corpus
- Integrable Wilson loops (2012, unknown): “1) It is possible to recover the potential in flat space by taking residue of V as φ → π (see [6, 7] for a detailed discussion).”
- The quark anti-quark potential and the cusp anomalous dimension from a TBA equation (2012, methodology): “One should also be able to take the strong coupling limit of the equations and reproduce the result derived from classical strings in AdS5 × S(5) in [47, 48].”
- Half-BPS Wilson loop and AdS2/CFT1 (2017, unknown): “with the leading terms at weak and strong coupling expansions being explicitly B(λ) = λ 16π2 − λ2 384π2 + O(λ3) and B(λ) = √ λ 4π2 − 3 8π2 +O( 1 √ λ ) [15,14].”