Scale and conformal symmetry in four-dimensional operational quantum field theory
Source: github.com/openai/math/tree/main/preprints/Scale-and-confor…
We prove that scale symmetry implies local conformal symmetry for a class of four-dimensional unitary, positive-energy quantum field theories with a Poincaré- and scale-invariant vacuum. The class has a discrete, bounded-below spectrum of scaling dimensions with finite multiplicities, and each original field has finite scaling support. The original fields and their adjoints have compatible affiliated realizations in a causally commuting bounded local net, and a physical local dilatation current generates scale transformations through its local Ward identities. The operational framework…
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Clay Cordova (U. Chicago), Scale vs conformal invarianceonline.kitp.ucsb.eduClay Cordova (U. Chicago)
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