Rigorous Limits on the Interaction Strength in Quantum Field Theory

We derive model-independent, universal upper bounds on the Operator Product Expansion (OPE) coefficients in unitary 4-dimensional Conformal Field Theories. The method uses the conformal block decomposition and the crossing symmetry constraint of the 4-point function. In particular, the OPE coefficient of three identical dimension

d

scalar primaries is found to be bounded by ~ 10(d-1) for 1

11.15.Tk
11.10.-z
14.80.-j
11.25.Hf
field theory: conformal
dimension: 4
unitarity
symmetry: crossing
operator product expansion
CERN LHC Coll

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Figures(0)

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