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Functional Quantum Field Theory in Phase Space

Published 13 Aug 2021 in hep-th | (2108.06268v1)

Abstract: We determine the form of the Wigner functional for several types of quantum free field theories in order to analyze the representation of QFT in phase space, as well as to compare it to other mainstream formulations. We use Jackiw's functional representation of a quantum field state and extrapolate it to the phase space formalism using an extension of Moyal's equation.

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