Theorems for asymptotic safety of gauge theories
journal contributionposted on 2023-06-09, 09:26 authored by Andrew D Bond, Daniel LitimDaniel Litim
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.
- Published version
JournalThe European Physical Journal C
Department affiliated with
- Physics and Astronomy Publications
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