Ingvar Lindgren

Relativistic Many-Body Theory (eBook, PDF)

A New Field-Theoretical Approach

• Format: PDF

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer New York
• Erscheinungstermin: 30. April 2011
• Englisch
• ISBN-13: 9781441983091
• Artikelnr.: 37342683

Inhaltsangabe

Introduction.- Time-independent formalism.- Time-dependent formalism.- S-matrix.- Green’s functions.- Covariant evolution operator and Green’s operator.- Numerical illustrations to Part II.- Covariant evolution combined with electron correlation.- The Bethe-Salpeter equation.- Implementation of the MBPT-QED procedure with numerical results.- Analytical treatment of the Bethe-Salpeter equation.- Regularization and renormalization.- Summary and Conclusions.- Notations and definitions.- Second quantization.- Representations of states and operators.- Dirac equation and the momentum representation.- Lagrangian field theory.- Semiclassical theory of radiation.- Covariant theory of Quantum ElectroDynamics.- Feynman diagrams and Feynman amplitude.- Evaluation rules for time-ordered diagrams.- Some integrals.- Unit systems and dimensional analysis.- References.- Index.

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From the Contents: Introduction.- Time-Independent Formalism.- Time-Dependent Formalism.- S-Matrix.- Green's Functions.- Covariant Evolution Operator and Green's Operator.- Numerical Illustrations to Part II.- Covariant Evolution Combined With Electron Correlation.

Rezensionen

"The book provides a first-time unified perspective based upon quantum field theory and illustrated with several numerical examples. Many chapters were re-edited, with improved writing from the author's original text." (Eric Howard, Contemporary Physics, October, 29, 2018)