Quantum field theory for mathematicians

Quantum field theory for mathematicians

by Ticciati, Robin

Type Book
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"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." "This book 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."--Jacket

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Title Statements

  • Full title :Quantum field theory for mathematicians / R. Ticciati.

Summary

"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." "This book 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."--Jacket

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Edition Statements

  • Publication Date:1999.

Publication Statements

The Physical Object

  • Description:1 online resource (xii, 699 pages) : : illustrations

Edition Identifiers

  • ISBN:9781107089112, 1107089115, 9780511836459, 0511836457, 9780511972249, 0511972245, 9780511526428, 0511526423
  • oclc:ocn861692481
  • LC Classification:QC174.45
  • Dewey Decimal:530.14/3

Table of Contents

1. Relativistic Quantum Mechanics -- 2. Fock Space, the Scalar Field, and Canonical Quantization -- 3. Symmetries and Conservation Laws -- 4. From Dyson's Formula to Feynman Rules -- 5. Differential Transition Probabilities and Predictions -- 6. Representations of the Lorentz Group -- 7. Two-Component Spinor Fields -- 8. Four-Component Spinor Fields -- 9. Vector Fields and Gauge Invariance -- 10. Reformulating Scattering Theory -- 11. Functional Integral Quantization -- 12. Quantization of Gauge Theories -- 13. Anomalies and Vacua in 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: Three Primitive Divergences -- 20. Renormalization and Preservation of Symmetries -- 21. The Renormalization Group Equations.

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