The 2-loop generalized scaling function from the BES/FRS equation

Abstract

We formulate the BES/FRS equation as a functional equation in the rapidity space and perform its strong coupling expansion in the limit when $\ell =j/4g$ is kept finite. We obtain a result which is consistent with the previous calculations at tree level and one loop and which differs from the two-loop calculation in 0805.4615 by a term singular at $\ell =0$.

28 pages, 2 figures

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Cited by in corpus (2)

• Nonperturbative scales in AdS/CFT
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory