  We study numerically the three-dimensional $\phi^{4}$ spin glass, a
prototypical disordered and discretized Euclidean field theory that manifests
inhomogeneities in space and time but considers a homogeneous squared mass and
lambda terms. The $\phi^{4}$ lattice glass field theory is a conceptual
generalization of spin glasses to continuous degrees of freedom and we discuss
the existence of a limit under which it formally reduces to the
Edwards-Anderson model. By defining four variants of an order parameter which
are suitable for continuous spin glasses, we verify numerically the emergence
of an overlap in absence of the magnetization thus confirming the presence of a
spin glass phase transition for a value of a critical squared mass. We conclude
by discussing how the $\phi^{4}$ spin glass can be utilized to address
assumptions of complete homogeneity in space or time and how, in parallel to
statistical physics, provides a suitable framework to investigate the
nonperturbative dynamics of machine learning algorithms from the perspective of
disordered lattice and constructive field theory.
