  The methods of non-linear realizations have proven to be powerful in studying
the low energy physics resulting from spontaneously broken internal and
spacetime symmetries. In this paper, we reconsider how these techniques may be
applied to the case of spontaneously broken gauge theories, concentrating on
Yang-Mills theories. We find that coset methods faithfully reproduce the
description of low energy physics in terms of massive gauge bosons and discover
that the St\"uckelberg replacement commonly employed when treating massive
gauge theories arises in a natural manner. Uses of the methods are considered
in various contexts, including generalizations to $p$-form gauge fields. We
briefly discuss potential applications of the techniques to theories of massive
gravity and their possible interpretation as a Higgs phase of general
relativity.
