https://profmattstrassler.com/articles-and-posts/particle-physics-basics/fields-and-their-particles-with-math/8-how-particles-and-fields-interact/ https://profm

https://profmattstrassler.com/articles-and-posts/particle-physics-basics/fields-and-their-particles-with-math/8-how-particles-and-fields-interact/ https://profmattstrassler.com/articles-and-posts/particle-ph... has some understandable math showing how this happens, more or less. Note that it's at the _end_ of a series called “Fields and Their Particles, With Math”, so you may want to skim it and then skip back closer to the beginning.