PIRSA:16050002 Scientific Series Quantum Fields and Strings

DOI10.48660/16050002

Series: Quantum Fields and Strings

Korchemsky, G. (2016). On level crossing in conformal field theories. Perimeter Institute. https://pirsa.org/16050002

Korchemsky, Gregory. On level crossing in conformal field theories. Perimeter Institute, May. 10, 2016, https://pirsa.org/16050002 

@misc{ pirsa_PIRSA:16050002,
  doi = {10.48660/16050002},
  url = {https://pirsa.org/16050002},
  author = {Korchemsky, Gregory},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {On level crossing in conformal field theories},
  publisher = {Perimeter Institute},
  year = {2016},
  month = {may},
  note = {PIRSA:16050002 see, \url{https://pirsa.org}}
}

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 N=4 Yang-Mills theory, three-dimensional conformal field theories and QCD.

Resources

Next talk

Related Talks