Rigorous Limits on the Interaction Strength in Quantum Field Theory

Details Rigorous Limits on the Interaction Strength in Quantum Field Theory Rigorous Limits on the Interaction Strength in Quantum Field Theory

2009-12-15

arxiv.org/abs/0912.2726v1

Phys.Rev.D81:085037,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pp, 3 figs + data file attached

Scientific paper

10.1103/PhysRevD.81.085037

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

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