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Jun 14 at 10:59 history edited Moguntius CC BY-SA 4.0
Fixed some typos.
Jun 14 at 10:38 comment added Void @Moguntius Yes, start with the assumption that quantized gravity is an EFT that was obtained as a low-energy limit of some renormalizable theory and try to find that theory, possibly unifying gravity with other interactions along the way. This is the route that took one from Fermi's four-fermion theory to the Weinberg-Salam theory and what people tried to repeat with string theory etc.
Jun 14 at 9:44 comment added Moguntius @Void , when you say that they are trying to repeat what they did with Fermi's EFT with gravity, what exactly are you referring to? The fact that they want to make this into a "renormalisable" theory?
Jun 10 at 12:11 comment added Void Very nice answer. I would only add that one can really use quantized GR as an EFT with a tower of UV cutoffs and it will never run into an inability to predict anything at current and near-future experimental capability/accuracy. Quantum gravity is not a problem for essentially any observational or experimental area of physics. It is just that people are trying to repeat the same story with this EFT as they did with Fermi's EFT of weak interactions (see chapter 1 of Hořejší's excellent electroweak textbook for the history, arxiv.org/pdf/2210.04526).
Sep 2, 2023 at 16:59 comment added LolloBoldo I edit the $\mathcal{P}$ definition. Yes i saw the answer, i'm reasoning over it a bit before accepting :)
Sep 2, 2023 at 15:48 comment added Moguntius For consistency's sake you might either want to write $\mathcal{P}_{1,3} = \mathbb{R}^{1,3} \rtimes \text{Spin}^+(1,3)$ for the orthochronous spin group or $\mathcal{P}_{1,3} = \mathbb{R}^{1,3} \rtimes \text{Pin}(1,3)$ for the pin group. Furthermore, have you seen my answer to your question at the bottom of my post?
Sep 2, 2023 at 15:20 comment added LolloBoldo The reason i wanted to use the Poincarè instead of the Lorentz group (or the double covers) is that in the SM you need the Poincare one to fond the representations of massless fields, see the Weinberg definition of massless spin 1 states
Sep 2, 2023 at 15:18 comment added LolloBoldo I edit my definition of Poincare group to include the double covering
S Sep 2, 2023 at 14:54 review First answers
Sep 2, 2023 at 15:28
S Sep 2, 2023 at 14:54 history answered Moguntius CC BY-SA 4.0