Probability representation in quantum field theory
V. I. Man'ko, L. Rosa, and P. Vitale

TL;DR
This paper extends the probability representation from quantum mechanics to quantum field theory, introducing a distribution functional for fields and exploring its evolution, connection to Green's functions, and classical limit.
Contribution
It generalizes the probability representation to quantum field theory, providing a new framework for describing quantum fields probabilistically.
Findings
Introduces a probability distribution functional for quantum fields.
Derives an evolution equation for the distribution functional.
Discusses the classical limit of the quantum field probability representation.
Abstract
The recently proposed probability representation of quantum mechanics is generalized to quantum field theory. We introduce a probability distribution functional for field configurations and find an evolution equation for such a distribution. The connection to the time-dependent generating functional of Green's functions is elucidated and the classical limit is discussed.
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