Marcus has suggested that "Inconsistencies from a Running Cosmological Constant" (Hamber & Tomiuri; PF thread) may cause problems for "Asymptotic safety of gravity and the Higgs boson mass" (Shaposhnikov & Wetterich; PF thread), because the latter relies on asymptotic safety, and asymptotic safety (apparently) assumes a running cosmological constant.(adsbygoogle = window.adsbygoogle || []).push({});

From my perspective, SW's idea is of broader interest than asymptotic safety (i.e. it might be derivable from some other assumption), and also I don't know much about asymptotic safety. And Hamber-Tomiuri don't mention asymptotic safety, and Shaposhnikov-Wetterich don't mention the cosmological constant. So we are dealing with ideas that have a life apart from each other.

But they do have an overlap, and it would be educational to see that there really is a contradiction, or even just to see what Hamber-Toriumi's argument looks like, applied specifically to Shaposhnikov-Wetterich's scenario.

So I propose that (at least to begin with) this thread should focus specifically on the theory defined by the Neutrino Minimal Standard Model with asymptotically safe quantum gravity. We should try to understand whether and why the cosmological constant runs in that theory, and we should try to understand Hamber-Toriumi's argument as it would be applied in the context of that theory. (Or theories, if there is more than one way to define asymptotically safe quantum gravity.)

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# Hamber-Tomiuri vs Shaposhnikov-Wetterich?

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