Feynman Diagrams for Condensed Matter Physics

Lukong Cornelius Fai

Radi A. Jishi

Introduction to the application of Feynman diagram techniques for researchers and advanced undergraduate students in condensed matter theory and many-body physics.

Radi A. Jishi

A concise introduction to Feynman diagram techniques, this book shows how they can be applied to the analysis of complex many-particle systems, and offers a review of the essential elements of quantum mechanics, solid state physics and statistical mechanics. Alongside a detailed account of the method of second quantization, the book covers topics such as Green's and correlation functions, diagrammatic techniques and superconductivity, and contains several case studies. Some background knowledge in quantum mechanics, solid state physics and mathematical methods of physics is assumed. Detailed derivations of formulas and in-depth examples and chapter exercises from various areas of condensed matter physics make this a valuable resource for both researchers and advanced undergraduate students in condensed matter theory, many-body physics and electrical engineering. Solutions to exercises are available online.

Ryuzo Abe

Diagrammatic expansion in condensed matter physics is reviewed from a viewpoint of classical and quantum statistical mechanics. The importance of Matsubara's work which brought quantum field theoretic method in condensed matter physics is emphasized. A short historical survey is given on several concepts evoked by the Matsubatra theory such as Bloch-De Dominicis theorem, Feynman diagram, temperature Green's function, its analytic continuation, etc. Some remark is presented on a closed equation for Green's functio or pair correlation function.