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Mathematical Aspects of Quantum Field Theory


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Table of Contents

Foreword Dennis Sullivan; Preface; 1. Classical mechanics; 2. Quantum mechanics; 3. Relativity, the Lorentz group and Dirac's equation; 4. Fiber bundles, connections and representations; 5. Classical field theory; 6. Quantization of classical fields; 7. Perturbative quantum field theory; 8. Renormalization; 9. The standard model; Appendix A. Hilbert spaces and operators; Appendix B. C* algebras and spectral theory; Bibliography; Index.

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This book presents some of the basic ideas and tools of quantum field theory to a mathematical audience.

About the Author

Edson de Faria is a Professor in the Instituto de Matematica e Estatistica at the Universidade de Sao Paulo. Welington de Melo is a Professor in the Instituto de Matematica Pura e Aplicada in Rio de Janeiro.


'... a brief, but careful, reasonably balanced, and representative introduction for mathematicians to QFT as it is used in physics.' The Mathematical Intelligencer

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