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On level crossing in conformal field theories

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 نشر من قبل Gregory Korchemsky
 تاريخ النشر 2015
  مجال البحث
والبحث باللغة English
 تأليف G.P. Korchemsky




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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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