Numbering Code	G-ENG08 5C004 LJ57	Year/Term	2022 ・ Second semester
Number of Credits	2	Course Type	Lecture
Target Year		Target Student
Language	Japanese	Day/Period	Thu.2
Instructor name	OGURE KENZOU (Graduate School of Engineering Assistant Professor) MIYADERA TAKAYUKI (Graduate School of Engineering Professor)
Outline and Purpose of the Course	An introduction to quantum field theory is presented with an emphasis on its mathematical difficulties. We may use online materials. Check PandA in advance.
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
Evaluation Methods and Policy	report
Course Requirements	Analysis, linear algebra, quantum mechanics
Study outside of Class (preparation and review)	Clarify what you have learnt and your questions.
References, etc.	None
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