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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Be<strong>the</strong>-Salpeter equation <strong>and</strong> <strong>Parquet</strong> equation<br />
• Be<strong>the</strong>-Salpeter equation<br />
⊲ describing how a reducible vertex is decomposed in its own scattering channel<br />
⊲ exact, derived from <strong>the</strong> categorization <strong>of</strong> <strong>the</strong> Feynman diagrams<br />
F<br />
= Γ + Γ F<br />
• <strong>Parquet</strong> equation<br />
⊲ describing how a irreducible vertex is still decomposable in <strong>the</strong> o<strong>the</strong>r two scattering<br />
channels<br />
⊲ exact, derived from <strong>the</strong> categorization <strong>of</strong> <strong>the</strong> Feynman diagrams<br />
Γ<br />
Γ v<br />
= Λ + + Γ p F p<br />
F v<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 20