Hierarchy of Self-Consistent Approximate Methods and the Parquet ...
Hierarchy of Self-Consistent Approximate Methods and the Parquet ...
Hierarchy of Self-Consistent Approximate Methods and the Parquet ...
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Schwinger-Dyson equation<br />
Schwinger-Dyson equation: Σ = Σ[G, U,F ]<br />
• relating Σ to F , a bridge between one-particle <strong>and</strong> two-particle quantities<br />
• exact, derived from <strong>the</strong> Equation <strong>of</strong> Motion<br />
Σ<br />
=<br />
+<br />
F<br />
• Two questions about F :<br />
⊲ What is F – Vertex describing <strong>the</strong> 2-particle scattering process.<br />
⊲ How to determine F — Using parquet formalism.<br />
<strong>Hierarchy</strong> <strong>of</strong> <strong>Self</strong>-<strong>Consistent</strong> <strong>Approximate</strong> <strong>Methods</strong> <strong>and</strong> <strong>the</strong> <strong>Parquet</strong> Formalism 7
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