On level crossing in conformal field theories

G. P. Korchemsky (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Domains: High Energy Physics - Theory [hep-th]

G. P. Korchemsky. On level crossing in conformal field theories. Journal of High Energy Physics, 2016, 2016, pp.212. ⟨10.1007/JHEP03(2016)212⟩. ⟨cea-01297362⟩