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

Dynamics of Functional Phase Space Distribution in QFT: A Third Quantization and Dynamical Unification of QFT and CMP