Is there a (somewhat) intuitive explanation for why a non-abelian gauge symmetry leads to its gauge bosons requiring boson-boson interactions (being charged)?
Any QFT text derives this result but in tens of pages of math and usually just end with concluding that for example yes, the weak interaction leds to 3 and 4 boson vertices.. I'm not allergic to the math per se but it feels as a quite important consequence and should have a condensed, intuitive explanation.