Book contents
- Frontmatter
- Dedication
- Contents
- Introduction
- PART I Basics
- Part II Spin
- Part III Interactions
- Part IV Renormalization
- 15 Prologue: Power Counting
- 16 The Bogoliubov–Parasiuk–Hepp–Zimmermann Scheme
- 17 Counter-terms
- 18 Controlling Singularities
- 19 Proof of Convergence of the BPHZ Scheme
- Part V Complements
- Solutions to Selected Exercises
- Reading Suggestions
- References
- Index
19 - Proof of Convergence of the BPHZ Scheme
from Part IV - Renormalization
Published online by Cambridge University Press: 22 February 2022
Book contents
- Frontmatter
- Dedication
- Contents
- Introduction
- PART I Basics
- Part II Spin
- Part III Interactions
- Part IV Renormalization
- 15 Prologue: Power Counting
- 16 The Bogoliubov–Parasiuk–Hepp–Zimmermann Scheme
- 17 Counter-terms
- 18 Controlling Singularities
- 19 Proof of Convergence of the BPHZ Scheme
- Part V Complements
- Solutions to Selected Exercises
- Reading Suggestions
- References
- Index
Summary
We prove in complete generality that the BPHZ scheme assigns a finite value to each Feynman diagram. The proof uses only elementary mathematics, but is magnificently clever.
- Type
- Chapter
- Information
- What Is a Quantum Field Theory? , pp. 563 - 590Publisher: Cambridge University PressPrint publication year: 2022