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arxiv 1601.05679 v2 pith:MBLFFMQQ submitted 2016-01-21 hep-th

Quark--anti-quark potential in N=4 SYM

classification hep-th
keywords potentialquark--anti-quarkanalyticallycouplingequationorderssolutiontheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct a closed system of equations describing the quark--anti-quark potential at any coupling in planar 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quark Anti-Quark Fusion and Walking RG Flows

    hep-th 2026-07 unverdicted novelty 7.0

    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.

  2. Walking Sudakov: From Cusp to Octagon

    hep-th 2026-05 unverdicted novelty 7.0

    In a novel scaling limit on the Coulomb branch of planar N=4 SYM, the Sudakov form factor and four-point amplitude exhibit double-logarithmic behavior governed by a walking anomalous dimension that interpolates betwee...