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Other very nice treatments are
P. Danielewicz, Quantum Theory of Nonequilibrium Processes I, Ann. Phys. 152, 239 (1984),
https://doi.org/10.1016/0003-4916(84)90092-7.
P. Danielewicz, Quantum Theory of Nonequilibrium Processes
II. Application to Nuclear Collisions, Ann. Phys. 152, 305
(1984), https://doi.org/10.1016/0003-4916(84)90093-9.
and for the relativistic case
N. P. Landsmann and C. G. van Weert, Real- and
Imaginary-time Field Theory at Finite Temperature and
Density, Physics Reports 145, 141 (1987),
https://doi.org/10.1016/0370-1573(87)90121-9.
Last but not least there's also a nice treatment in Landau&Lifshitz vol. X.
P. Danielewicz, Quantum Theory of Nonequilibrium Processes I, Ann. Phys. 152, 239 (1984),
https://doi.org/10.1016/0003-4916(84)90092-7.
P. Danielewicz, Quantum Theory of Nonequilibrium Processes
II. Application to Nuclear Collisions, Ann. Phys. 152, 305
(1984), https://doi.org/10.1016/0003-4916(84)90093-9.
and for the relativistic case
N. P. Landsmann and C. G. van Weert, Real- and
Imaginary-time Field Theory at Finite Temperature and
Density, Physics Reports 145, 141 (1987),
https://doi.org/10.1016/0370-1573(87)90121-9.
Last but not least there's also a nice treatment in Landau&Lifshitz vol. X.