Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact result in N=4 SYM theory: Generalised double-logarithmic equation   We present the new results for the generalised double-logarithmic equation,
obtained from the analytical continuation of the seven-loop anomalous dimension
of twist-2 operators in the planar N=4 SYM theory. The double-logarithmic
equation is related to the special asymptotic of the scattering amplitudes,
when the large logarithms of the energy of scattering particles are appeared
and should be summed in all order of perturbative theory. These large
logarithms correspond to the poles of the analytically continued anomalous
dimension. The generalised double-logarithmic equation includes the subleading
logarithms. We have found, that the expansion of the generalised
double-logarithmic equation can be ressumed in the form of rational functions
with simple denominator. The solution of the generalised double-logarithmic
equation provides a lot of information about the poles of the analytically
continued anomalous dimension in all orders of perturbative theory. We have
found also the generalised double-logarithmic equation for the analytically
continued anomalous dimension near the value, which is related with
BFKL-equation.

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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: math
32
The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph