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Anomalous dimensions of spinning operators from conformal symmetry · Around

2017

Anomalous dimensions of spinning operators from conformal symmetry

Gliozzi, Ferdinando

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We compute, to the first non-trivial order in the $\epsilon$-expansion of a perturbed scalar field theory, the anomalous dimensions of an infinite class of primary operators with arbitrary spin $\ell=0,1,..$, including as a particular case the weakly broken higher-spin currents, using only constraints from conformal symmetry.

Following the bootstrap philosophy, no reference is made to any Lagrangian, equations of motion or coupling constants.
Even the space dimensions d are left free.
The interaction is implicitly turned on through the local operators by letting them acquire anomalous dimensions.

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