Generating functional for the full parquet approximation

Details Generating functional for the full parquet approximation Generating functional for the full parquet approximation

1998-06-09

arxiv.org/abs/cond-mat/9806118v1

Physics

Condensed Matter

Strongly Correlated Electrons

REVTeX, 7 pages, 5 eps figures

Scientific paper

Parquet diagrams sum self-consistently Feynman graphs for the vertex function with all two-particle multiple scatterings. We show how the complete parquet equations for the Hubbard-like models can be integrated to a generating functional from which all thermodynamic quantities are derived via (functional) derivatives. An explicit Luttinger-Ward functional $\Phi[G;\Lambda,{\cal K};U]$ is constructed containing only the renormalized one-particle, $G$, irreducible, $\Lambda$, and reducible, ${\cal K}$, two-particle propagators as independent variational functions. The parquet approximation is proven to be a thermodynamically consistent, $\Phi$-derivable theory obeying the necessary conservation laws.

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