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arXiv · 1801.08527

Price of Asymptotic Safety

Andrew D. Bond·Daniel F. Litim
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Abstract

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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Andrew D. Bond, Daniel F. Litim. 2019-05-02. Price of Asymptotic Safety. https://doi.org/10.1103/physrevlett.122.211601

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