  Phenomena in gauge theory are often described in the physics literature via a
specific choice of gauge. In foundational and philosophical discussions this is
often criticized as introducing gauge dependence, and contrasted against (often
aspirational) "gauge-invariant" descriptions of the physics. I argue, largely
in the context of scalar electrodynamics, that this is misguided, and that
descriptions of a physical process within a specific gauge are in fact
gauge-invariant descriptions. However, most of them are non-local descriptions
of that physics, and I suggest that this ought to be the real objection to such
descriptions. I explore the unitary gauge as the exception to this nonlocality
and consider its strengths and limitations, as well as (more briefly) its
extension beyond scalar electrodynamics.
