What Steps Are Needed to Fix a Suitable Gauge in Multiple Spacetime Dimensions?

[arroy_0205]

In an arbitrary number of spacetime dimensions, I am given a vector potential which is a function of all spacetime coordinates. How do I fix a suitable gauge in this case? The vector potential has same number of components as the number of spacetime dimensions. How do I check that after gauge fix there are no gauge freedom left?

 

[blechman]

Gauge fixing in a U(1) theory allows you to eliminate two degrees of freedom. This just follows from counting.