Enrico Pajer - 2/4 EFT of Open Systems : Path Integrals and the Schwinger–Keldysh Formalism @IhesFr
Enrico Pajer - 2/4 EFT of Open Systems : Path Integrals and the Schwinger–Keldysh Formalism  @IhesFr
Uploaded July 2026 | Updated September 2026, 3 weeks ago
This lecture develops the path-integral description of open quantum systems using the closed
time contour. Topics include: - The Schwinger–Keldysh (in-in) formalism, - Doubling of fields and the structure of the closed time path, - In-in Feynman rules and perturbation theory for open systems, retarded, advanced and Keldysh propagators, - Noise, dissipation, and influence functionals, - Constraints from ultraviolet unitarity, locality, and symmetries. The equivalence between operator and path-integral approaches is emphasized, together with
the structural constraints imposed by unitarity and symmetries at high energies.

Enrico Pajer (DAMTP, University of Cambridge)

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Institut des Hautes Etudes Scientifiques (IHES) |

Enrico Pajer - 2/4 EFT of Open Systems : Path Integrals and the Schwinger–Keldysh Formalism

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