What Happens When Two Photons Come Near Each Other?

A photon isn't just a little packet of energy in the photon field, flying through space. It's constantly creating e plus e minus pairs and then going back to being a photon. So what happens when two photons come near each other is that sometimes they pass right through each other and ignore each other. Sometimes one of the photons will interact with one of these e plus eminus pairs that briefly exists. And those things radiate their own photons, which create more e pluse minus pairs, which then collapse back. i just like buzzing swarm of particles all the time.