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On Scale and Conformal Invariance in Four Dimensions

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arxiv 1309.2921 v1 pith:J7YIRDR4 submitted 2013-09-11 hep-th

Anatoly Dymarsky , Zohar Komargodski , Adam Schwimmer , Stefan Theisen This is my paper · ORCID
classification hep-th
keywords invariancescaleargumentconditionconformaltheoriesconfigurationconformality
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We study the implications of scale invariance in four-dimensional quantum field theories. Imposing unitarity, we find that infinitely many matrix elements vanish in a suitable kinematical configuration. This vanishing is a nontrivial necessary condition for conformality. We provide an argument why this is expected to be a sufficient condition as well, thereby linking scale and conformal invariance in unitary theories. We also discuss possible exceptions to our argument.

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  1. Parisi-Sourlas Supertranslation and Scale without Conformal symmetry

    hep-th 2024-11 accept novelty 7.0 of 10

    Supertranslation symmetry protects the virial current's scaling dimension, giving eight perturbative scale-invariant but non-conformal fixed points in a quartic superfield model.

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