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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<strong>Parquet</strong> formalism<br />
1-particle<br />
2-particle<br />
re irre fully irre<br />
G T Σ<br />
S.D.<br />
χ F Γ Λ<br />
B.S.<br />
more localized<br />
<strong>Parquet</strong><br />
Be<strong>the</strong>-Salpeter equation <strong>and</strong> <strong>Parquet</strong> equation<br />
• relating F , Γ <strong>and</strong> Λ<br />
2-particle Dyson equations (recall Dyson e.q. for 1-particle formalism)<br />
• χ = χ 0 + χ 0 ∗ F ∗ χ 0<br />
• χ = χ 0 + χ 0 ∗ Γ ∗ χ<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 22
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