Non-perturbative construction of the Luttinger-Ward functional
For a system of correlated electrons, the Luttinger-Ward functional provides a link between static thermodynamic quantities on the one hand and single-particle excitations on the other. The functional is useful in deriving several general properties of the system as well as in formulating the ther...
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| Date: | 2006 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2006
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/121360 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Non-perturbative construction of the Luttinger-Ward functional / M. Potthoff // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 557–567. — Бібліогр.: 31 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | For a system of correlated electrons, the Luttinger-Ward functional provides a link between static thermodynamic
quantities on the one hand and single-particle excitations on the other. The functional is useful in
deriving several general properties of the system as well as in formulating the thermodynamically consistent
approximations. Its original construction, however, is perturbative as it is based on the weak-coupling
skeleton-diagram expansion. Here, it is shown that the Luttinger-Ward functional can be derived within a general
functional-integral approach. This alternative and non-perturbative approach stresses the fact that the
Luttinger-Ward functional is universal for a large class of models. |
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