# Find the gauge transformation of a Lagrangian

## Homework Statement

The lagrangian is given by:
$$L = -\frac{1}{4} F^2_{\mu \nu} + (\partial_{\mu} \phi_1 - m_1 A_{\mu})^2 + (\partial_{\mu} \phi_2 - m_2 A_{\mu})^2$$

## 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.