Quark-anti-quark potential in N=4 SYM

TY - JOUR

T1 - Quark-anti-quark potential in N=4 SYM

AU - Gromov, Nikolay

AU - Levkovich-Maslyuk, Fedor

PY - 2016

Y1 - 2016

N2 - We construct a closed system of equations describing the quark-anti-quark potential at any coupling in planar NN = 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.

AB - We construct a closed system of equations describing the quark-anti-quark potential at any coupling in planar NN = 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.

U2 - 10.1007/JHEP12(2016)122

DO - 10.1007/JHEP12(2016)122

M3 - Article

SN - 1126-6708

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

ER -