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Fermion Parquet: The Approximations

Smith, Roger Alan / Jackson, A. D.

The full parquet approach to many-body theory represents a self-consistent summation of Feynman diagrams for the two-body Green’s function, G₂, in terms of the bare interaction, V, and the one-body Green’s function, G. The parquet equations sum the reducible diagrams for G₂ which are generated from any initial set of irreducible diagrams. The full one-body G which is used in the construction process is obtained from the proper self-energy ∑ and the non-interacting Green’s function with the usual Dyson equation. One level of self-consistency is attained by constructing the ∑ from the G₂. The ∑ is obtained by closing off the G₂ with a V as shown in fig. 1.

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Fermion Parquet: The Approximations

Smith, Roger Alan / Jackson, A. D.

The full parquet approach to many-body theory represents a self-consistent summation of Feynman diagrams for the two-body Green’s function, G₂, in terms of the bare interaction, V, and the one-body Green’s function, G. The parquet equations sum the reducible diagrams for G₂ which are generated from any initial set of irreducible diagrams. The full one-body G which is used in the construction process is obtained from the proper self-energy ∑ and the non-interacting Green’s function with the usual Dyson equation. One level of self-consistency is attained by constructing the ∑ from the G₂. The ∑ is obtained by closing off the G₂ with a V as shown in fig. 1.

Fermion Parquet: The Approximations

Smith, Roger Alan / Jackson, A. D.

The full parquet approach to many-body theory represents a self-consistent summation of Feynman diagrams for the two-body Green’s function, G₂, in terms of the bare interaction, V, and the one-body Green’s function, G. The parquet equations sum the reducible diagrams for G₂ which are generated from any initial set of irreducible diagrams. The full one-body G which is used in the construction process is obtained from the proper self-energy ∑ and the non-interacting Green’s function with the usual Dyson equation. One level of self-consistency is attained by constructing the ∑ from the G₂. The ∑ is obtained by closing off the G₂ with a V as shown in fig. 1.

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Titel:

Fermion Parquet: The Approximations

Beteiligte:

Kallio, A. J. (Herausgeber:in) / Pajanne, E. (Herausgeber:in) / Bishop, R. F. (Herausgeber:in) / Smith, Roger Alan (Autor:in) / Jackson, A. D. (Autor:in)

Erschienen in:

Recent Progress in Many-Body Theories ; Kapitel: 33 ; 1 ; 327-333

Erscheinungsdatum:

01.01.1988

Format / Umfang:

7 pages

ISBN:

978-1-4613-0973-4 , 978-1-4612-8272-3

DOI:

https://doi.org/10.1007/978-1-4613-0973-4_33

Medientyp:

Aufsatz/Kapitel (Buch)

Format:

Elektronische Ressource

Sprache:

Englisch

Schlagwörter:

Vertex Correction , Ladder Diagram , Fermion Case , Irreducible Diagram , Bare Interaction Physics , Condensed Matter Physics , Characterization and Evaluation of Materials , Physics and Astronomy

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