The Klein-Gordon equation is given by
where is a fixed mass and f is a scalar or vector-valued field on Minkowski space. When the mass is zero this is just the free wave equation. When the mass is positive, one usually rescales spacetime to normalize the mass to equal one, unless one is studying the vanishing mass limit.
In practice, this mass term makes absolutely no difference to the local well-posedness theory of an equation (since the mass term f is negligible for high frequencies), but often plays a key role in the global theory (because of the improved decay and dispersion properties, and because the Hamiltonian controls the low frequencies more effectively).