Abstract
We construct a closed system of equations describing the quark-anti-quark potential at any coupling in planar \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory. It is based on the Quantum Spectral Curve method supplemented with a novel type of asymptotics. We present a high precision numerical solution reproducing the classical and one-loop string predictions very accurately. We also analytically compute the first 7 nontrivial orders of the weak coupling expansion.
Moreover, we study analytically the generalized quark-anti-quark potential in the limit of large imaginary twist to all orders in perturbation theory. We demonstrate how the QSC reduces in this case to a one-dimensional Schrodinger equation. In the process we establish a link between the Q-functions and the solution of the Bethe-Salpeter equation.
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ArXiv ePrint: 1601.05679
NORDITA-2016-134
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Gromov, N., Levkovich-Maslyuk, F. Quark-anti-quark potential in \( \mathcal{N} \) = 4 SYM. J. High Energ. Phys. 2016, 122 (2016). https://doi.org/10.1007/JHEP12(2016)122
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DOI: https://doi.org/10.1007/JHEP12(2016)122