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Intro  Contents  Preface  1 Introduction  1.1 Quasiparticles and Green's functions  1.2 Diagram technique. Dyson equation  1.3 Green's functions at finite temperatures  2 ElectronElectron Interaction  2.1 Diagram rules  2.2 Electron gas with Coulomb interaction  2.3 Polarization operator of free electron gas at T = 0  2.4 Dielectric function of an electron gas  2.5 Electron selfenergy effective mass and damping of quasiparticles  2.6 RKKYoscillations  2.7 Linear response  2.8 Microscopic foundations of LandauSilin theory of Fermiliquids  2.9 Interaction of quasiparticles in Fermiliquid  2.10 NonFermiliquid behavior  3 ElectronPhonon Interaction  3.1 Diagram rules  3.2 Electron selfenergy  3.3 Migdal theorem  3.4 Selfenergy and spectrum of phonons  3.5 Plasma model  3.6 Phonons and fluctuations  4 Electrons in Disordered Systems  4.1 Diagram technique for "impurity" scattering  4.2 Singleelectron Green's function  4.3 Keldysh model  4.4 Conductivity and twoparticle Green's function  4.5 BetheSalpeter equation "diffuson" and "Cooperon"  4.6 Quantum corrections selfconsistent theory of localization and Anderson transition  4.6.1 Quantum corrections to conductivity  4.6.1.1 Technical details  4.6.1.2 "Poor man" interpretation of quantum corrections  4.6.2 SelfConsistent Theory of Localization  4.6.2.1 Metallic phase  4.6.2.2 Anderson insulator  4.6.2.3 Frequency dispersion of the generalized diffusion coefficient  4.7 "Triangular" vertex  4.8 The role of electronelectron interaction  5 Superconductivity  5.1 Cooper instability  5.2 Gorkov equations  5.3 Superconductivity in disordered metals  5.4 GinzburgLandau expansion  5.5 Superconductors in electromagnetic field  6 Electronic Instabilities and Phase Transitions 

6.1 Phonon spectrum instability  6.2 Peierls dielectric  6.3 Peierls dielectric with impurities  6.4 GinzburgLandau expansion for Peierls transition  6.5 Charge and spin density waves in multidimensional systems. Excitonic insulator  6.6 Pseudogap  6.6.1 Fluctuations of Peierls shortrange order  6.6.2 Electron in a random field of fluctuations  6.6.3 Electromagnetic response  6.7 TomonagaLuttinger model and non Fermiliquid behavior  Appendix A Fermi Surface as Topological Object  Appendix B Electron in a Random Field and Feynman Path Integrals  Bibliography 

The introduction of quantum field theory methods has led to a kind of "revolution" in condensed matter theory. This resulted in the increased importance of Feynman diagrams or diagram technique. It has now become imperative for professionals in condensed matter theory to have a thorough knowledge of this method.There are many good books that cover the general aspects of diagrammatic methods. At the same time, there has been a rising need for books that describe calculations and methodical "know how" of specific problems for beginners in graduate and postgraduate courses. This unique collection of lectures addresses this need.The aim of these lectures is to demonstrate the application of the diagram technique to different problems of condensed matter theory. Some of these problems are not "finally" solved. But the development of results from any section of this book may serve as a starting point for a serious theoretical study 

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries 
Link 
Print version: Sadovskii, Michael V Diagrammatics: Lectures On Selected Problems In Condensed Matter Theory
Singapore : World Scientific Publishing Company,c2006 9789812566393

Subject 
Condensed matter.;Quantum field theory.;Feynman diagrams


Electronic books

