Bounding scalar operator dimensions in 4D CFT

1 Jul 2008Riccardo RattazziVyacheslav S. RychkovErik TonniAlessandro Vichi

In an arbitrary unitary 4D CFT we consider a scalar operator \phi, and the operator \phi^2 defined as the lowest dimension scalar which appears in the OPE \phi\times\phi with a nonzero coefficient. Using general considerations of OPE, conformal block decomposition, and crossing symmetry, we derive a theory-independent inequality [\phi^2] \leq f([\phi]) for the dimensions of these two operators... (read more)

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