  We study a novel type of extensions of the Standard Model which include a
hard mass term for the U(1) gauge field and, optionally, the additional scalar
multiplets spontaneously violating the electric charge conservation. Contrary
to the case of abelian massive electrodynamics, in these theories the
massiveness of photon necessarily implies non-conservation (and also
dequantization) of the electric charge (even in the absence of spontaneous
breakdown of the electromagnetic symmetry). On the other hand, unexpectedly,
there exist models with charge non-conservation where it is possible to keep
the photon mass zero (at least, at the tree level).
