On renormalizability of a non-linear abelian gauge model

Considering that physical processes work as a group, a whole gauge procedure becomes necessary. In a previous work, we have developed this new approach for a classical non-linear abelian gauge model. At this work, one intends to understand the corresponding quantum extension through its renormalizability. For this, one studies Feynman graphs, quantum action principle, power counting procedure, Ward identities and primitively divergent graphs. Under this renormalization procedure one computes a non-linear whole abelian gauge model.