Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The scaling function at strong coupling from the quantum string Bethe
  equations   We study at strong coupling the scaling function describing the large spin
anomalous dimension of twist two operators in ${\cal N}=4$ super Yang-Mills
theory. In the spirit of AdS/CFT duality, it is possible to extract it from the
string Bethe Ansatz equations in the $\mathfrak{sl}(2)$ sector of the $\ads$
superstring. To this aim, we present a detailed analysis of the Bethe equations
by numerical and analytical methods. We recover several short string
semiclassical results as a check. In the more difficult case of the long string
limit providing the scaling function, we analyze the strong coupling version of
the Eden-Staudacher equation, including the Arutyunov-Frolov-Staudacher phase.
We prove that it admits a unique solution, at least in perturbation theory,
leading to the correct prediction consistent with semiclassical string
calculations.

14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con