Green functions in the renormalized many-body perturbation theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F21%3A00553891" target="_blank" >RIV/68378271:_____/21:00553891 - isvavai.cz</a>
Result on the web
<a href="https://www.cond-mat.de/events/correl21/manuscripts/correl21.pdf" target="_blank" >https://www.cond-mat.de/events/correl21/manuscripts/correl21.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Green functions in the renormalized many-body perturbation theory
Original language description
I review how renormalizations are introduced in the quantum many-body perturbation theory. The one-particle renormalizations are discussed within the Baym-Kadanoff construction. We point to an inherent dichotomy of the Baym-Kadanoff approach in the relation between one and two-particle Green functions. They are the Schwinger-Dyson equation and the Ward identity that cannot be satisfied simultaneously in any approximate theory. I further introduce the two-particle approach with two-particle renormalizations that offers a way to reconcile the the two relations. Finally, I discuss a static mean-field-like approximation with a renormalized effective interaction determined self-consistently in the reduced parquet equations that leads to a qualitatively correct description of strong electron correlations in impurity and lattice models.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10302 - Condensed matter physics (including formerly solid state physics, supercond.)
Result continuities
Project
<a href="/en/project/GA19-13525S" target="_blank" >GA19-13525S: Quantum coherence in systems with correlated electrons: Superconductivity and magnetism in nano and bulk materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Simulating Correlations with Computers Modeling and Simulation
ISBN
978-3-95806-529-1
Number of pages of the result
29
Pages from-to
"7.2"-"7.29"
Number of pages of the book
390
Publisher name
Verlag des Forschungszentrum Jülich
Place of publication
Jülich
UT code for WoS chapter
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