Quantum field theory for mathematicians

Author(s)

• Ticciati, Robin

Bibliographic Information

Quantum field theory for mathematicians

R. Ticciati

（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 72）

Cambridge University Press, 1999

• : hbk

Note

Bibliography: p. [687]-688

Includes index

Description and Table of Contents

Description

The approach to quantum field theory in this book is part way between building a mathematical model of the subject and presenting the mathematics that physicists actually use. It starts with the need to combine special relativity and quantum mechanics and culminates in a basic understanding of the standard model of electroweak and strong interactions. The book is divided into five parts: 1. Canonical quantization of scalar fields; 2. Weyl, Dirac and vector fields; 3. Functional integral quantization; 4. The standard model of the electroweak and strong interactions; 5. Renormalization. This should be a useful reference for anybody with interests in quantum theory and related areas of function theory, functional analysis, differential geometry or topological invariant theory.

Table of Contents

• 1. Relativistic quantum mechanics
• 2. Fock space, the scalar field and canonical quantization
• 3. Symmetries, conserved currents and conserved quantities
• 4. The scattering matrix and Feynmann diagrams
• 5. Differential transition probabilities and predictions
• 6. Representations of the Lorentz group
• 7. Two-component scalar fields
• 8. Four-component scalar fields
• 9. Massive vector fields
• 10. Reformulating scattering theory
• 11. Functional integral quantization
• 12. Quantization of gauge theories
• 13. Anomalies of gauge theories
• 14. SU(3) representation theory
• 15. The structure of the standard model
• 16. Hadrons, flavor symmetry and nucleon-pion interactions
• 17. Tree-level applications of the standard model
• 18. Regularization and renormalization
• 19. Renormalization of QED
• 20. Renormalization and preservation of symmetries
• 21. The renormalization group equations.

by "Nielsen BookData"

Details

• NCID: BA4148865X
• ISBN:
  • 052163265X
• LCCN: 98039473
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge
• Pages/Volumes: xii, 699 p.
• Size: 24 cm
• Classification:
  • LCC : QC174.45
  • DC21 : 530.14/3
• Subject Headings:
  • LCSH : Quantum field theory
• Parent Bibliography ID:
  • BA00064663