Correction exponents at 1/N^{2} in the chiral Heisenberg model agree with 4−ε results but one pole at d=3 is resummed via four-fermion mixing, modifying leading-order 3D exponents consistently with direct calculation.
Double-logs, Gribov-Lipatov reciprocity and wrapping
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abstract
We study analytical properties of the five-loop anomalous dimension of twist-2 operators at negative even values of Lorentz spin. Following L. N. Lipatov and A. I. Onishchenko, we have found two possible generalizations of double-logarithmic equation, which allow to predict a lot of poles of anomalous dimension of twist-2 operators at all orders of perturbative theory from the known results. Second generalization is related with the reciprocity-respecting function, which is a single-logarithmic function in this case. We have found, that the knowledge of first orders of the reciprocity-respecting function gives all-loop predictions for the highest poles. Obtained predictions can be used for the reconstruction of a general form of the wrapping corrections for twist-2 operators.
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Correction exponents in the chiral Heisenberg model at $1/N^2$: singular contributions and operator mixing
Correction exponents at 1/N^{2} in the chiral Heisenberg model agree with 4−ε results but one pole at d=3 is resummed via four-fermion mixing, modifying leading-order 3D exponents consistently with direct calculation.