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Renormalization From Lorentz to Landau (and Beyond)

The purpose of this section is to give you a sketch of how quantum field theory works, where Feynman graphs come from and why they are so useful, where the infinities come from, and how we have learned to deal with them without compromising the physical principles involved. I am purposely treating t...

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Bibliographic Details
Other Authors: Brown, Laurie M. (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 1993, 1993
Edition:1st ed. 1993
Subjects:
Mathematical Physics
Theoretical, Mathematical And Computational Physics
Mathematical Methods In Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction: Renormalization. 1930–1950
  • 1.1. Apologia
  • 1.2. Quantum Electrodynamics: 1926–1930
  • 1.3. The Decade of Struggle: 1930–1940
  • 1.4. The Triumph of Renormalization: The 1940s
  • 2 Renormalization in Historical Perspective—The First Stage
  • 2.1. Renormalization: The Disappearance and Reappearance of an Idea
  • 2.2. J. J. Thompson: The Aether as Fluid and the Electromagnetic Mass
  • 2.3. Lorentz: His Aether, Electron, and Program
  • 2.4. Kramers: The Unexpected End of the First Phase
  • 2.5. Comments and Conclusions
  • 3 Tutorial on Infinities in QED
  • 3.1. Introduction
  • 3.2. Subtracting Infinity
  • 3.3. The Perturbation Expansion
  • 3.4. Feynman Graphs
  • 3.5. Self-Energy Graphs and Vertex Graphs
  • 3.6. Primitive Renormalization
  • 3.7. The Renormalization Program
  • 3.8. Discussion
  • 4 New Philosophy of Renormalization: From the Renormalization Group Equations to Effective Field Theories
  • 4.1. Conceptual Background
  • 4.2. Foundational Transformations
  • 4.3. New Philosophy
  • 5 Changing Conceptualization of Renormalization Theory
  • 5.1. Introduction
  • 5.2. The History of Quantum Mechanics and QFT
  • 5.3. The Post-World War II Developments
  • 5.4. The Changing Conceptualization of Renormalization. Effective Field Theories
  • 5.5. The Ebb and Flow of Reductionism
  • Appendix Historical Remarks on the Renormalization Group
  • A.1. History of RG in Quantum Field Theory
  • A.1.1. Renormalization and Renormalization Invariance
  • A.1.2. The Birth of the Renormalization Group
  • A.1.3. Creation of the RG Method in the Mid-1950s
  • A.1.4. Other Early Applications of RG
  • A.1.5. Further Development of RG in QFT
  • A.2. RG in Critical Phenomena and Other Fields
  • A.2.1. Spin Lattices
  • A.2.2. Turbulence
  • A.2.3. Paths of RG Expansion
  • A.2.4. Two Faces of RG in QFT
  • A.2.5.Functional Self-Similarity or Synthesis
  • A.3. Summary
  • Name Index

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