# Find the gauge transformation of a Lagrangian

1. Oct 18, 2015

### silverwhale

1. The problem statement, all variables and given/known data
The lagrangian is given by:
$$L = -\frac{1}{4} F^2_{\mu \nu} + (\partial_{\mu} \phi_1 - m_1 A_{\mu})^2 + (\partial_{\mu} \phi_2 - m_2 A_{\mu})^2$$

2. Relevant equations
Find the gauge transformation of the fields that corresponds to a symmetry.
Find the combination of scalar fields which couples to A_mu.

3. The attempt at a solution
I am clueless here, any idea would be great.

2. Oct 23, 2015