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Quark--anti-quark potential in N=4 SYM | | Nikolay Gromov
; Fedor Levkovich-Maslyuk
; | | Date: |
21 Jan 2016 | | Abstract: | 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. | | Source: | arXiv, 1601.5679 | | Services: | Forum | Review | PDF | Favorites | |
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