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Legendre Transformation of the Luttinger-Ward Functional from the Bare Interaction Vertex to the Renormalized One
| Title: | Legendre Transformation of the Luttinger-Ward Functional from the Bare Interaction Vertex to the Renormalized One |
| Authors: | Kita, Takafumi Browse this author →KAKEN DB |
| Issue Date: | 15-Nov-2022 |
| Publisher: | 日本物理学会 (Physical Society of Japan) |
| Journal Title: | Journal of the Physical Society of Japan (JPSJ) |
| Volume: | 91 |
| Issue: | 11 |
| Start Page: | 114002 |
| Publisher DOI: | 10.7566/JPSJ.91.114002 |
| Abstract: | On the basis of the Luttinger-Ward functional for interacting many-body systems given in terms of full Green's function G and the bare interaction vertex Gamma(0), we develop a novel Legendre transformation to express the grand thermodynamic potential omega as a functional of G and the renormalized interaction vertex Gamma so that (i) G and Gamma obey the stationarity conditions 5 omega=5G = 0 and 5 omega=5 Gamma = 0 and (ii) Gamma reduces to Gamma(0) in the weak-coupling limit. The formalism enables us to perform microscopic studies of thermodynamic, single-particle, and two-particle properties in a unified self-consistent conserving framework. |
| Rights: | © 2022 The Physical Society of Japan |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/90842 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 北 孝文
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