Does laser field need to be Lorentz transformed?

[Iczzzzzz]

In user.pdf , it is mentioned that ''If drifts are speci ed with the Maxwell-Juttner distribution then the distribution is calculated in the
rest frame and then Lorentz transformed to the speci ed drifting frame.'', and this is for particles.
If I'm considering a intensity at a fully relativistic condition, is it necessary to write the laser field in its Lorentz transform, as one mentions as "the fields have to depend on (t - z/c) for a plane-wave pulse propagating in the z direction".