Michel Talagrand

What Is a Quantum Field Theory?

• Gebundenes Buch

Produktbeschreibung

This introduction to the main ideas of quantum field theory (QFT) is written for readers with knowledge of undergraduate mathematics but no previous background in physics, focusing on in-depth understanding of the methods and concepts used by physicists, including renormalization, rather than experimental aspects of the theory.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 758
• Erscheinungstermin: 17. März 2022
• Englisch
• Abmessung: 250mm x 175mm x 45mm
• Gewicht: 1444g
• ISBN-13: 9781316510278
• ISBN-10: 1316510271
• Artikelnr.: 62214141

Autorenporträt

Michel Talagrand is the recipient of the Loève Prize (1995), the Fermat Prize (1997), and the Shaw Prize (2019). He was a plenary speaker at the International Congress of Mathematicians and is currently a member of the Académie des Sciences (Paris). He has written several books in probability theory and well over 200 research papers.

Inhaltsangabe

Introduction
Part I. Basics: 1. Preliminaries
2. Basics of non-relativistic quantum mechanics
3. Non-relativistic quantum fields
4. The Lorentz group and the Poincaré group
5. The massive scalar free field
6. Quantization
7. The Casimir effect
Part II. Spin: 8. Representations of the orthogonal and the Lorentz group
9. Representations of the Poincaré group
10. Basic free fields
Part III. Interactions: 11. Perturbation theory
12. Scattering, the scattering matrix and cross sections
13. The scattering matrix in perturbation theory
14. Interacting quantum fields
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.