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## Homework Statement

The lagrangian is given by:

[tex] L = -\frac{1}{4} F^2_{\mu \nu} + (\partial_{\mu} \phi_1 - m_1 A_{\mu})^2 + (\partial_{\mu} \phi_2 - m_2 A_{\mu})^2 [/tex]

## Homework Equations

Find the gauge transformation of the fields that corresponds to a symmetry.

Find the combination of scalar fields which couples to A_mu.

## The Attempt at a Solution

I am clueless here, any idea would be great.