  We proposed a third quantization scheme to derive the quantum dynamics of the
functional phase space distribution in quantum field theory (QFT). The
derivation is straightforward and algorithmic. This readily yields the
ballistic quantum transport equation of QFT distribution in (p,q)- functional
phase space, not in ordinary position-momentum (p,q)-space. Our starting point
is the general mixed space representation in QFT. The end result serves as a
unification of the quantum superfield transport theory of condensed matter
physics (CMP) and QFT. This is summarized in a Table of correspondence. This
third quantization scheme may have significance in quantum fluctuation theory
of systems with many degrees of freedom. It may have relevance to cosmology:
gravity, multi-universes, and Yang-Mills theory.
