Mathematical Aspects of Quantum Field Theory
eBook - PDF

Mathematical Aspects of Quantum Field Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Mathematical Aspects of Quantum Field Theory

About this book

Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations.

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Yes, you can access Mathematical Aspects of Quantum Field Theory by Edson de Faria,Welington de Melo in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series-title
  4. Title
  5. Copyright
  6. Contents
  7. Foreword
  8. Preface
  9. 1 Classical mechanics
  10. 2 Quantum mechanics
  11. 3 Relativity, the Lorentz group, and Dirac's equation
  12. 4 Fiber bundles, connections, and representations
  13. 5 Classical field theory
  14. 6 Quantization of classical fields
  15. 7 Perturbative quantum field theory
  16. 8 Renormalization
  17. 9 The Standard Model
  18. Appendix A: Hilbert spaces and operators
  19. Appendix B: C* algebras and spectral theory
  20. Bibliography
  21. Index