Abstract
The Feynman–Dyson series does not describe the evolution of the statistical distribution function \(f({\mathbf {p}},{\mathbf {p}}',t)\), which appears as an unknown at all orders in the perturbative expansion. Instead, the role of the Feynman–Dyson series is to dress the spectral structure of the propagators. In order to constrain the evolution of the statistical distribution function, we will now derive the master time evolution equations that are the ultimate aim of this work.
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G. Baym, L.P. Kadanoff, Conservation laws and correlation functions. Phys.Rev. 124, 287–299 (1961)
L.P. Kadanoff, G. Baym, Quantum statistical mechanics; Green’s function methods in equilibrium and nonequilibrium problems (Addison-Wesley, NewYork, 1989)
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Millington, P. (2014). Master Time Evolution Equations. In: Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01186-8_14
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DOI: https://doi.org/10.1007/978-3-319-01186-8_14
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Online ISBN: 978-3-319-01186-8
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