Relativistic Many-Body Theory

A New Field-Theoretical Approach

Nonfiction, Science & Nature, Science, Physics, Optics, Quantum Theory
Cover of the book Relativistic Many-Body Theory by Ingvar Lindgren, Springer New York
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Author: Ingvar Lindgren ISBN: 9781441983091
Publisher: Springer New York Publication: April 30, 2011
Imprint: Springer Language: English
Author: Ingvar Lindgren
ISBN: 9781441983091
Publisher: Springer New York
Publication: April 30, 2011
Imprint: Springer
Language: English

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.

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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.

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