Renormalization An Introduction
This book provides a simple, but mathematically rigorous, introduction to perturbative renormalization. It can be read by students from the third year on and will leads them to a level where they can start reading the current research literature. The book gives a thorough introduction to the field-t...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1999, 1999
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| Edition: | 1st ed. 1999 |
| Series: | Theoretical and Mathematical Physics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Field Theory
- 2. Techniques
- 3. The Renormalization Group
- 4. The Fermi Surface Problem
- A. Appendix to Chapters 1–3
- A.1 A Topology on the Ring of Formal Power Series
- A.2 Fourier Transformation
- A.3 Properties of the Boson Propagator
- A.4 Wick Reordering for Bosons
- A.5 The Lower Bound for the Sunset Graph
- B. Appendix to Chapter 4
- B.1 Fermionic Fock Space
- B.2 Calculus on Grassmann Algebras
- B.3 Grassmann Gaussian Integrals
- B.4 Gram’s Inequality; Bounds for Gaussian Integrals
- B.5 Grassmann Integrals for Fock Space Traces
- B.5.1 Delta Functions and Integral Kernels
- B.5.2 The Formula for the Trace
- B.5.3 The Time Continuum Limit
- B.5.4 Nambu Formalism
- B.5.5 Matsubara Frequencies
- B.6 Feynman Graph Expansions
- B.7 The Thermodynamic Limit in Perturbation Theory
- B.8 Volume Improvement Bounds
- B.8.1 The One-Loop Volume Bound
- B.8.2 The Two-Loop Volume Bound
- References