Scaling dimensions from the mirror TBA

Details Scaling dimensions from the mirror TBA Scaling dimensions from the mirror TBA

2012-01-11

arxiv.org/abs/1201.2317v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

The mirror TBA equations proposed by Arutyunov, Suzuki and the author are solved numerically up to 't Hooft's coupling $\lambda\approx 2340$ for several two-particle states dual to ${\cal N}=4$ SYM operators from the $\sl(2)$ sector. The data obtained for states with mode numbers $n=1,2,3,4$ is used to propose a general charge $J$ dependent formula for the first nonvanishing subleading coefficient in the strong coupling expansion of scaling dimensions. In addition we find that the first critical and subcritical values of the coupling for the $J=4, n=1$ operator are at $\lambda\approx 133$ and $\lambda\approx 190$, respectively.

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