Book contents
- Frontmatter
- Dedication
- Contents
- Author’s Note
- Part I Normal Phase
- 1 Introduction
- 2 The Schrödinger and Heisenberg Representations: Time-Evolution Operator
- 3 Splitting the Hamiltonian: Heisenberg and Interaction Pictures
- 4 Time-Dependent Quantum and Ensemble Averages: Initial Preparation of the System
- 5 Quantum Averages over the Ground State and the Gell–Mann–Low Theorem
- 6 The Contour Idea for Time-Dependent Averages: Forward and Backward Branches
- 7 Closed-Time-Path Green’s Functions
- 8 Dynamics for a Correlated Initial State and Various Kinds of Contours in the Complex Time Plane
- 9 Perturbation Theory: Wick’s Theorem for Strings of Operators Ordered along a Contour
- 10 Non-equilibrium Diagrammatics: Feynman Rules
- 11 Non-equilibrium Dyson Equations
- 12 Kubo–Martin–Schwinger Boundary Conditions
- 13 Converting Contour-Time to Real-Time Arguments
- 14 Langreth Rules: Convolutions and Products
- 15 The Kadanoff–Baym Equations
- 16 The t-Matrix Approximation in the Normal Phase
- 17 Contour Diagrammatic Structure in Terms of Functional Derivatives
- 18 Beyond Linear-Response Theory
- 19 Time-Dependent Hartree–Fock Approximation and Mean-Field Decoupling
- 20 Miscellany and Addenda to Part I
- Part II Fermionic Superfluid Phase
- Part III Applications
- Bibliography
- Index
10 - Non-equilibrium Diagrammatics: Feynman Rules
from Part I - Normal Phase
Published online by Cambridge University Press: 06 February 2026
Book contents
- Frontmatter
- Dedication
- Contents
- Author’s Note
- Part I Normal Phase
- 1 Introduction
- 2 The Schrödinger and Heisenberg Representations: Time-Evolution Operator
- 3 Splitting the Hamiltonian: Heisenberg and Interaction Pictures
- 4 Time-Dependent Quantum and Ensemble Averages: Initial Preparation of the System
- 5 Quantum Averages over the Ground State and the Gell–Mann–Low Theorem
- 6 The Contour Idea for Time-Dependent Averages: Forward and Backward Branches
- 7 Closed-Time-Path Green’s Functions
- 8 Dynamics for a Correlated Initial State and Various Kinds of Contours in the Complex Time Plane
- 9 Perturbation Theory: Wick’s Theorem for Strings of Operators Ordered along a Contour
- 10 Non-equilibrium Diagrammatics: Feynman Rules
- 11 Non-equilibrium Dyson Equations
- 12 Kubo–Martin–Schwinger Boundary Conditions
- 13 Converting Contour-Time to Real-Time Arguments
- 14 Langreth Rules: Convolutions and Products
- 15 The Kadanoff–Baym Equations
- 16 The t-Matrix Approximation in the Normal Phase
- 17 Contour Diagrammatic Structure in Terms of Functional Derivatives
- 18 Beyond Linear-Response Theory
- 19 Time-Dependent Hartree–Fock Approximation and Mean-Field Decoupling
- 20 Miscellany and Addenda to Part I
- Part II Fermionic Superfluid Phase
- Part III Applications
- Bibliography
- Index
Summary
This chapter applies the Wick’s theorem to the contour single-particle Green’s function. The corresponding average is represented in the interaction picture, with no need to specify at the outset the kind of contour that is used. This procedure is summarized in a set of Feynman diagrammatic rules, which are reported schematically. Here, only the normal phase is considered, while, in Part II, the Feynman rules are extended to superfluid Fermi systems.
Keywords
Information
- Type
- Chapter
- Information
- Many-Body Green's Functions for Time-Dependent Problems , pp. 61 - 66Publisher: Cambridge University PressPrint publication year: 2026
Accessibility standard: Inaccessible, or known limited accessibility
Why this information is here
This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.Accessibility Information
The PDF of this chapter is known to have missing or limited accessibility features.
We may be reviewing its accessibility for future improvement, but final compliance is
not yet assured and may be subject to legal exceptions. If you have any questions,
please contact
accessibility@cambridge.org.
Content Navigation
Table of contents navigation
Allows you to navigate directly to chapters, sections, or non‐text items through a linked table of contents, reducing the need for extensive scrolling.
Allows you to navigate directly to chapters, sections, or non‐text items through a linked table of contents, reducing the need for extensive scrolling.
Index navigation
Provides an interactive index, letting you go straight to where a term or subject appears in the text without manual searching.
Provides an interactive index, letting you go straight to where a term or subject appears in the text without manual searching.
Reading Order & Textual Equivalents
Single logical reading order
You will encounter all content (including footnotes, captions, etc.) in a clear, sequential flow, making it easier to follow with assistive tools like screen readers.
You will encounter all content (including footnotes, captions, etc.) in a clear, sequential flow, making it easier to follow with assistive tools like screen readers.
Short alternative textual descriptions
You get concise descriptions (for images, charts, or media clips), ensuring you do not miss crucial information when visual or audio elements are not accessible.
You get concise descriptions (for images, charts, or media clips), ensuring you do not miss crucial information when visual or audio elements are not accessible.