Critical Properties of Φ^4-Theories (Softcover)

Condition

VERY GOOD: This book is in very good condition, showing slight shelf wear at the bottom of the back cover. The pages are free from writing.

Product Details

From the back cover: "This book explains how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition."

BRIEF CONTENTS

1. Introduction
2. Definition of Φ⁴-Theory
3. Feynman Diagrams
4. Diagrams in Momentum Space
5. Structural Properties of Perturbation Theory
6. Diagrams for Multicomponent Fields
7. Scale Transformations of Fields and Correlations Functions
8. Regularization of Feynman Integrals
9. Renormalization
10. Renormalization Group
11. Recursive Subtraction of UV-Divergences by R-Operation
12. Zero-Mass Approach to Counterterms
13. Calculation of Momentum Space Integrals
14. Generation of Diagrams
15. Results of the Five-Loop Calculation
16. Basic Resummation Theory
17. Critical Exponents of O(N)-Symmetric Theory
18. Cubic Anisotropy
19. Variational Perturbation Theory
20. Critical Exponents form Other Expansions
21. New Resummation Algorithm

Following the Conclusion at the end of the chapters, there are two additional sections:

1. Diagrammatic R-Operation up to Five Loops
2. Contributions to Renormalization-Constants

Notes and References are placed at the end of each chapter, and the book ends with an Index.