论文标题
Legendre转换Luttinger-Ward功能从裸露的相互作用顶点到重新归一致的一个
Legendre Transformation of the Luttinger-Ward Functional from the Bare Interaction Vertex to the Renormalized One
论文作者
论文摘要
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 $Γ^{(0)}$, we develop a novel Legendre transformation to express the grand thermodynamic potential $Ω$ as a functional of $G$ and the renormalized interaction vertex $Γ$ so that (i) $G$ and $Γ$ obey the stationarity conditions $ΔΩ/ΔG= 0 $和$ΔΩ/δγ= 0 $和（ii）$γ$在弱耦合极限下减少至$γ^{（0）} $。形式主义使我们能够在统一的自洽保护框架中对热力学，单粒子和两粒子性质进行微观研究。
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 $Γ^{(0)}$, we develop a novel Legendre transformation to express the grand thermodynamic potential $Ω$ as a functional of $G$ and the renormalized interaction vertex $Γ$ so that (i) $G$ and $Γ$ obey the stationarity conditions $δΩ/δG=0$ and $δΩ/δΓ=0$ and (ii) $Γ$ reduces to $Γ^{(0)}$ 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.
