Abstract
We calculate two different types of 3-point correlators involving twist-2 operators in the leading weak coupling approximation and all orders in N c in N=4 SYM theory. Each of three operators in the first correlator can be any component of twist-2 supermultiplet, though the explicit calculation was done for a particular component which is an SU(4) singlet. It is calculated in the leading, Born approximation for arbitrary spins j 1 , j 2 , j 3. The result significantly simplifies when at least one of the spins is large or equal to zero and the coordinates are restricted to the 2d plane spanned by two light-rays. The second correlator involves two twist-2 operators Tr(X∇j1 X) + . . ., Tr(Z∇j2 Z) + . . . and one Konishi operator \( \mathrm{Tr}{{\left[ {\overline{Z},\overline{X}} \right]}^2} \). It vanishes in the lowest g 0 order and is computed at the leading g 2 approximation.
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ArXiv ePrint: 1212.6563
Member of Institut Universitaire de France. (Vladimir Kazakov)
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Kazakov, V., Sobko, E. Three-point correlators of twist-2 operators in N=4 SYM at Born approximation. J. High Energ. Phys. 2013, 61 (2013). https://doi.org/10.1007/JHEP06(2013)061
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DOI: https://doi.org/10.1007/JHEP06(2013)061