Renormalization : : an introduction to renormalization, the renormalization group and the operator-product expansion / / John C. Collins.

• Superior document: Cambridge monographs on mathematical physics
• VerfasserIn: Collins, John C. 1949-
• Place / Publishing House: Cambridge : : Cambridge University Press,, 2023.
• Year of Publication: 2023
• Edition: 1st ed.
• Language: English
• Series: Cambridge monographs on mathematical physics.
• Physical Description: 1 online resource (x, 380 pages) :; illustrations (black and white), digital, PDF file(s).
• Notes: Previously issued in print: 1984.

Most of the numerical predictions of experimental phenomena in particle physics over the last decade have been made possible by the discovery and exploitation of the simplifications that can happen when phenomena are investigated on short distance and time scales. This book provides a coherent exposition of the techniques underlying these calculations. After reminding the reader of some basic properties of field theories, examples are used to explain the problems to be treated. Then the technique of dimensional regularization and the renormalization group. Finally a number of key applications are treated, culminating in the treatment of deeply inelastic scattering.

Table of Contents

1. Introduction; 2. Quantum field theory; 3. Basic examples; 4. Dimensional regularization; 5. Renormalization; 6. Composite operators; 7. Renormalization group; 8. Large-mass expansion; 9. Global symmetries; 10. Operator-product expansion; 11. Coordinate space; 12. Renormalization of gauge theories; 13. Anomalies; 14. Deep-inelastic scattering; References; Index.