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Price of Asymptotic Safety

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arxiv 1801.08527 v2 pith:LGUH2MNQ submitted 2018-01-25 hep-th hep-ph

Andrew D. Bond , Daniel F. Litim This is my paper · ORCID
classification hep-thhep-ph
keywords asymptoticfieldgaugeinteractionssafetytheoriescoincidenceconformal
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All known examples of four dimensional quantum field theories with asymptotic freedom or asymptotic safety at weak coupling involve non-abelian gauge interactions. We demonstrate that this is not a coincidence: no weakly coupled fixed points, ultraviolet or otherwise, can be reliably generated in theories lacking gauge interactions. Implications for particle physics, critical phenomena, and conformal field theory are indicated.

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  1. Fermions and the Renormalisation Group at Large N

    hep-th 2025-02 conditional novelty 7.0 of 10

    At large N, fermionic quantum field theories have exact effective actions depending only on flavour-singlet fermion bilinears, making the local potential approximation exact and yielding new conformal fixed points.

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