WebAug 24, 2024 · On the Luttinger-Ward functional and the convergence of skeleton diagrammatic series expansion of the self-energy for Hubbard-like models. Behnam … Webthe Luttinger-Ward functional Φ[G] and the expansion of the proper self-energy2),3)b Σin terms of skeleton self-energy diagrams4)c and the exact one-particle Green function G. As the scope of our investigations expanded, we decided on the present format in preference to a Comment whose focus would have to be narrower than is the case with the ...
Physics:Luttinger–Ward functional - HandWiki
WebJun 28, 2004 · Non-perturbative construction of the Luttinger-Ward functional. Michael Potthoff. For a system of correlated electrons, the Luttinger-Ward functional provides a … WebSep 7, 2024 · Furthermore, we demonstrate that numerical calculations of the physical branch of the Luttinger-Ward functional can be stabilized by ensuring causality of the noninteracting Green's function. Our method and findings provide a basis for improving stability and efficiency of numerical simulations of quantum many-body systems. 1 More hafer informationen
Non-perturbative construction of the Luttinger-Ward …
In solid state physics, the Luttinger–Ward functional, proposed by Joaquin Mazdak Luttinger and John Clive Ward in 1960, is a scalar functional of the bare electron-electron interaction and the renormalized one-particle propagator. In terms of Feynman diagrams, the Luttinger–Ward functional is the sum of … See more Given a system characterized by the action $${\displaystyle S[c,{\bar {c}}]}$$ in terms of Grassmann fields $${\displaystyle c_{i},{\bar {c}}_{i}}$$, the partition function can be expressed as the path integral: See more • Luttinger's theorem • Ward identity See more Diagrammatically, the Luttinger–Ward functional is the sum of all closed, bold, two-particle irreducible Feynman diagrams (also known as “skeleton” diagrams): The diagrams are closed as they do not have any external legs, i.e., no particles going in or out of the … See more WebJul 21, 2024 · Using non-perturbative methods, we rigorously construct the Luttinger–Ward formalism for the first time, and we prove that the bold diagrammatic series can be obtained directly via an asymptotic expansion of the Luttinger–Ward functional, circumventing the partial resummation technique. WebThe Luttinger–Ward functional was proposed more than five decades ago and has been used to formally justify most practically used Green’s function methods for quantum … hafer joghurt activia