Regular Article - Theoretical Physics
Theorems for asymptotic safety of gauge theories
Department of Physics and Astronomy, University of Sussex, Brighton, BN1 9QH, UK
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Accepted: 5 June 2017
Published online: 26 June 2017
We classify the weakly interacting fixed points of general gauge theories coupled to matter and explain how the competition between gauge and matter fluctuations gives rise to a rich spectrum of high- and low-energy fixed points. The pivotal role played by Yukawa couplings is emphasised. Necessary and sufficient conditions for asymptotic safety of gauge theories are also derived, in conjunction with strict no go theorems. Implications for phase diagrams of gauge theories and physics beyond the Standard Model are indicated.
© The Author(s), 2017