Legendre Transformation of the Luttinger-Ward Functional from the Bare Interaction Vertex to the Renormalized One

Kita, Takafumi

Journal of the Physical Society of Japan (JPSJ), 2022, 91(11), 114002

Permalink : https://hdl.handle.net/2115/90842

このアイテムのアクセス数:104件（2026-01-22 19:04 集計）

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J. Phys. Soc. Jpn._91(11)_114002	pdf	133 KB	161

アクセス権	open access
URI	https://hdl.handle.net/2115/90842
タイトル	Legendre Transformation of the Luttinger-Ward Functional from the Bare Interaction Vertex to the Renormalized One
著者	e-Rad_Researcher 20186224 著者名 Kita, Takafumi
言語	英語
発行日	2022-11-15
出版者	日本物理学会 (Physical Society of Japan)
収録物名	Journal of the Physical Society of Japan (JPSJ)
巻(号)	91(11)
ページ	114002
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	© 2022 The Physical Society of Japan
PISSN	0031-9015
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.7566/JPSJ.91.114002