On the new way of symmetry breaking in scalar QED and the one-loop renormalization

It is well known that a single real scalar field does not allow gauge coupling to the Abelian vector field. By using the complex scalar model as a starting point, we construct the Abelian gauge model with two real scalars. The gauge transformations for the scalars look different (albeit equivalent) from the conventional sQED. One can show that the invariant action cannot be extended by adding more scalars. On the other hand, in the theory with two real scalars, spitting their masses, or the scalar self-coupling constants, or the nonminimal parameters of scalar-curvature interaction, we arrive at a qualitatively new way of gauge symmetry breaking. By using the Schwinger–DeWitt technique, we explore the one-loop renormalization of this new model in curved space–time.