Abstract
The structure constants of twist-two operators with spin j in the BFKL limit g2 → 0, j → 1 and frac{g^2}{j-1} ∼ 1 are found from the calculation of the three-point correlator of twist-two light-ray operators in the triple Regge limit. It is well known that the anomalous dimensions of twist-two operators in this limit are determined by the BFKL intercept. Similarly, the obtained structure constants are determined by an analytic function of three BFKL intercepts.
Highlights
Are found from the calculation of the three-point correlator of twist-two light-ray operators in the triple Regge limit
It is well known that the anomalous dimensions of twist-two operators in this limit are determined by the BFKL intercept
It is well known that the all correlation functions in a conformal theory are in principle determined if one knows the anomalous dimensions of all primary operators and the corresponding structure constants determined by three-point correlators
Summary
Light-ray (LR) operators are defined as bilocal operators with light-like separation and gauge links providing gauge invariance. The gluon light-ray twist-two operator is defined as. Where the gauge link [x, y] is defined as [x, y] ≡ Pexp −igYM du (x − y)μAμ(ux + (1 − u)y) These operators represent the sum of local operators of twist two convoluted with light-like vector x−y. + iς this light-ray operator realizes the principal series irreducible representation of sl(2|4) Since it is well-defined at iς it can be uniquely analytically continued to the whole complex plane of J and the continuation to integer J = k + 1 gives local operator as a residue in the pole at j = k. [35] that analytic continuation of anomalous dimensions of local operators eq (2.3) to non-integer j by integrals of DGLAP kernels gives the anomalous dimensions of light-ray operators (3.7).
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