Generalized Feynman Amplitudes

by Eugene R. Speer

Overview

This book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an arbitrary interaction. The author also introduces a new method of renormalizing an arbitrary Feynman amplitude, a method that is simpler than previous approaches and can be used to study the renormalized perturbation series in quantum field theory.

Product Details

ISBN-13:	9780691080666
Publisher:	Princeton University Press
Publication date:	04/21/1969
Series:	Annals of Mathematics Studies , #62
Pages:	312
Product dimensions:	5.50(w) x 8.80(h) x 0.50(d)

Table of Contents

• Frontmatter, pg. i
• Acknowledgements, pg. v
• Abstract, pg. vii
• tables of contents, pg. ix
• Introductions, pg. 1
• CHAPTER I. Renormalization in Lagrangian Field Theory, pg. 5
• CHAPTER II. Definition of Generalized Amplitudes, pg. 43
• CHAPTER III. Analytic Renormalization, pg. 61
• CHAPTER IV. Summation of Feynman Amplitudes, pg. 81
• CONCLUSION, pg. 95
• APPENDIX A. Graphs, pg. 97
• APPENDIX B. Distributions, pg. 103
• APPENDIX C. The Free Field, pg. 109
• BIBLIOGRAPHY, pg. 119