An Introduction to Relativistic Quantum Field Theory

Silvan S Schweber, Hans Albrecht Bethe

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English

Dover
17 June 2005

Series: Dover Books on Physics

"Complete, systematic, and self-contained, this text introduces modern quantum field theory. ""Combines thorough knowledge with a high degree of didactic ability and a delightful style."" - Mathematical Reviews.

""Complete, systematic, self-contained...the usefulness and scope of application of such a work is enormous...combines thorough knowledge with a high degree of didactic ability and a delightful style."" - Mathematical Reviews

In a relatively simple presentation that remains close to familiar concepts, this text for upper-level undergraduates and graduate students introduces the modern developments of quantum field theory. Starting with a review of the one-particle relativistic wave equations, it proceeds to a second-quantized description of a system of n particles, demonstrating the connection of this approach with the quantization of classical field theories. An examination of the restriction that symmetries impose on Lagrangians follows, along with a survey of their conservation laws. An analysis of simple models of field theories establishes the models' content, and the problematic aspects of quantized field theories are explored.

Succeeding chapters present the Feynman-Dyson perturbation treatment of relativistic field theories, including an account of renormalization theory, and the formulation of field theory in the Heisenberg picture is discussed at length. The book concludes with an account of the axiomatic formulation of field theory and an introduction to dispersion theoretic methods, in addition to a set of problems designed to acquaint readers with aspects of field theory not covered in the text."

By: Silvan S Schweber
Foreword by: Hans Albrecht Bethe
Imprint: Dover
Country of Publication: United States
Dimensions: Height: 216mm, Width: 139mm, Spine: 50mm
Weight: 1.070kg
ISBN: 9780486442280
ISBN 10: 0486442284
Series: Dover Books on Physics
Pages: 913
Publication Date: 17 June 2005
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Unspecified

Editorial Foreword by Hans A. Bethe Preface Part One: The One-Particle Equations 1. Quantum Mechanics and Symmetry Principles 2. The Lorentz Group 3. The Klein-Gordon Equation 4. The Dirac Equation 5. The Zero Mass Equations Part Two: Second Quantization 6. Second Quantization: Nonrelativistic Theory 7. Relativistic Fock Space Methods 8. Quantization of the Dirac Field 9. Quantization of the Electromagnetic Field Part Three: The Theory of Interacting Fields 10. Interaction Between Fields 11. The Formal Theory of Scattering 12. Simple Field Theoretic Models 13. Reduction of S Matrix 14. Feynman Diagrams 15. Quantum Electrodynamics 16. Quantitative Renormalization Theory Part Four: Formal Developments 17. The Heisenberg Picture 18. The Axiomatic Formulation Problems Suggested Further Reading References Index Compendium of Useful Formulae