Abstract
We study the properties of operators in a unitary conformal field theory whose scaling dimensions approach each other for some values of the parameters and satisfy von Neumann-Wigner non-crossing rule. We argue that the scaling dimensions of such operators and their OPE coefficients have a universal scaling behavior in the vicinity of the crossing point. We demonstrate that the obtained relations are in a good agreement with the known examples of the level-crossing phenomenon in maximally supersymmetric \( \mathcal{N}=4 \) Yang-Mills theory, three-dimensional conformal field theories and QCD.
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ArXiv ePrint: 1512.05362
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Korchemsky, G.P. On level crossing in conformal field theories. J. High Energ. Phys. 2016, 212 (2016). https://doi.org/10.1007/JHEP03(2016)212
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DOI: https://doi.org/10.1007/JHEP03(2016)212