Precision Islands in the Ising and $O(N)$ Models

14 Mar 2016Filip KosDavid PolandDavid Simmons-DuffinAlessandro Vichi

We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators. We improve on previous studies by scanning over possible relative values of the leading OPE coefficients, which incorporates the physical information that there is only a single operator at a given scaling dimension... (read more)

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