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Relativistic Many-Body Theory

A New Field-Theoretical Approach

  • Book
  • © 2011

Overview

  • Describes for the first time relativistic many-body perturbation theory, rigorously based upon field theory
  • Provides a unified account of quantum electrodynamics and many-body perturbation theory
  • Synthesizes the techniques of many-body perturbation theory and quantum field theory

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics (SSAOPP, volume 63)

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Table of contents (13 chapters)

  1. Basics: Standard Many-Body Perturbation Theory

  2. Introduction

  3. Basics: Standard Many-Body Perturbation Theory

  4. Quantum-Electrodynamics: One-Photon and Two-Photon Exchange

  5. Quantum-Electrodynamics Beyond Two-Photon Exchange: Field-Theoretical Approach to Many-Body Perturbation Theory

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About this book

This book gives a comprehensive account of relativistic many-body perturbation theory, based upon field theory. After some introductory chapters about time-independent and time dependent many-body perturbation theory (MBPT), the standard techniques of S-matrix and Green’s functions are reviewed. Next, the newly introduced covariant-evolution-operator method is described, which can be used, like the S-matrix method, for calculations in quantum electrodynamics (QED). Unlike the S-matrix method, this has a structure that is similar to that of MBPT and therefore can serve as basis for a unified theory. Such an approach is developed in the final chapters, and its equivalence to the Bethe-Salpeter equation is demonstrated. Possible applications are discussed and numerical illustrations given.

Reviews

“This well-written book, aimed at theoretical and applied physicists, describes some recent progress in the treatment of atomic and molecular systems, possibly with many electrons and highly charged. …  The book is, in my opinion, suitable for physics graduate students, and for specialists interested in being introduced to the field-theoretical approach to many body perturbation theory.” (Marco Falconi, Mathematical Reviews, July, 2017)

From the reviews:

“The present book aims to provide an overview and to summarize the results obtained with the modern formalism … . All methods are illustrated using numerical examples. This textbook is a reliable guidefor advanced graduate students and researchers.” (Gert Roepstorff, Zentralblatt MATH, Vol. 1218, 2011)

Authors and Affiliations

  • Department of Physics, University of Gothenburg, Göteborg, Sweden

    Ingvar Lindgren

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