  Four dimensional gauge theories in anti-de Sitter space, including pure
Yang-Mills theory, exhibit a quantum phase transition between a deconfined
phase and a confined phase as the gauge coupling is varied. We explore various
mechanisms by which this may occur, both in a fixed background and in the
presence of gravity. We also make a number of observations on the dynamics of
four dimensional supersymmetric gauge theories in anti-de Sitter space.
