  In this contribution to the Proceedings of the Corfu Summer Institute 2015 we
present our study on photon self-interaction in the deformed U(1) gauge field
theory defined via Seiberg-Witten map. We derive the theta-exact expressions
for the four photon self-coupling in this theory with a large number of gauge
symmetry inspired freedom parameters included. The physical effect of four
photon self-coupling is accessed by its contribution to photon polarization
tensor via 1-loop four-photon-tadpole-diagram. The four-photon tadpole diagram
consists the same tensorial structures as the photon self-interacting bubble
diagram we studied before, with however only quadratically IR divergent
coefficients. We show that there exists a unique combination of gauge symmetry
inspired freedoms which induces full quadratic IR divergence cancellation for
arbitrary noncommutative parameter theta once the photon self-interacting
bubble and tadpole diagrams are summed over.
