Quantum Field Theory
JA | EN
| Numbering Code |
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| Term | 2020/Second semester |
| Number of Credits | 2 credits |
| Course Type | Lecture |
| Target Student | Graduate |
| Language | Japanese |
| Day/Period | Thu.2 |
| Instructor(s) |
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| Outline and Purpose of the Course | An introduction to quantum field theory is presented with an emphasis on its mathematical difficulties. |
| Course Goals | Our aim is to understand the difficulty of relativistic quantum field theory caused by the Poincare covariance and the infinite degrees of freedom. |
| Schedule and Contents | 1. Introduction Free field 2. Special relativity (1) 3. Special relativity (2) Poincare group 4. Relativistic quantum mechanics (1) Wigner's theorem 5. Relativistic quantum mechanics (2) Irreducible representation of Poincare group 6. Many particles 7. Free field (1) Klein-Gordon equation 8. Free field (2) Weyl algebra and Haag-Kastler axiom Interaction 9. Classical theory 10. Deformation quantization 11. Wick ordering and microlocal analysis 12. Time ordered product 13. Time ordered product and Feynman diagram 14. Renormalization 15. Recent topics 1-14. Miyadera, 15. Ogure |
| Grading Policy | exam |
| Prerequisites | Analysis, linear algebra, quantum mechanics |
| Preparation and Review | Clarify what you have learnt and your questions. |
| Reference(s) |
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