〈 Berger | Dillon 〉

sure but that's not the SM.. you asked about the Standard Model not being a gauge theory and i responded with the answer to your question

okay (1) you’ve demonstrated you don’t actually know what a gauge theory is and (2) I’m well aware of @skdh’s arguments, which I find valuable and necessary for progress. So don’t troll my comments in your arm chair, acting like you actually know particle physics

And then there’s me who only knows that a gauge transformation is an element of the Lie group of sections of the automorphism bundle associated to a principal bundle. I’ll never get physics.

You don’t “feel” Lie groups as PDE symmetry groups? That’s the primary intuition I have for them at least. Well, I guess if anybody would (or even could!) have a deep understanding of Lie algebras/groups and not have the PDE intuition, it’d be you lol

I’m open to that interpretation but it’s not the first one I go to. Another I heard is “Lie groups: differential equations :: Galois groups: algebraic equations.” I can see one way in which this holds true but in general I don’t think I’ve thought enough about these perspectives.

Just out of curiosity, how do you think of Lie algebras?