  In this work the possible role that Decoherence Model could play in the
emergence of the classical concept of time is analyzed. We take the case of a
Mixmaster universe with small anisotropy and construct its Halliwell
propagator. Afterwards we introduce in our system terms that comprise the
effects of Decoherence Model. This is done by means of the so called Restricted
Path Integral Formalism. We obtain Halliwell's modified propagator and find
that a gauge invariant physical time emerges as consequence of this process.
