Advanced QFT I - WS 1403-04 (2024-25)
- Lecturer: Neda Sadooghi
- Office: Room 519, Physics Department
- Time: Sundays and Tuesdays: 8:30 - 10:30
- Place: Seminar Room 512, 5th Floor
- Office Hours: By arrangement (Contact: sadooghi@sharif.edu)
- Semester starts on: Sunday 1403/07/01
- Semester ends on: Tuesday 1403/10/11
- Midterm Exam on: Tuesday 1403/09/06 at 01:30 PM
- Final Exam on: Sunday 1403/10/23 at 09:00 AM
- An Introduction to QFT, M. E. Peskin and D. V. Schroeder
- The Quantum Theory of Fields, S. Weinberg
- Gauge Field Theory, S. Pokorski
- Quantum Field Theory, L. H. Ryder
- Quantum Field Theory, C. Itzykson and J. B. Zuber
- QFT and the SM Model, M. D. Schwartz
- Homeworks: 4 Points
- Midterm Exam: 6 Points
- Final Exam: 10 Points
- Written term paper (Voluntary): 1 Point (Bonus)
| Part I: QED; Regularization and Renormalization | |
| Feynman Rules | |
| Radiative Corrections; Perturbative Series | |
| Power Counting; Dimensional Regularization | |
| One-loop Renormalization | |
| One-loop beta Function; Asymptotic Behavior | |
| Two-loop Calculation; An Example | |
| Electromagnetic Form Factor; Anomalous Magnetic Moment | |
| Callan-Symanzik Renormalization Group Equation | |
| Part II: Path Integral Quantization; Functional Method | |
| Path Integral in QM and QFT | |
| Path Integral Quantization; Feynman Rules for Bosons and Fermions | |
| Generating Functional for Free Fields | |
| Generating Functional for Interacting Fields | |
| Generating Functional for Connected Diagrams | |
| Generating Functional for 1PI Diagrams | |
| Ward-Takahashi Identities | |
| Functional Determinant | |
| Part III: Non-Abelian Gauge Theory | |
| Mathematical Tools: Lie Groups | |
| Yang-Mills Action and Non-Abelian Gauge Invariance | |
| Gauge Fixing and DeWitt-Faddeev-Popov Ghosts | |
| One-loop Radiative Corrections and beta-Function | |
| BRST Symmetry | |
| Slavnov-Taylor Identity | |
| QCD beta-Function [Perturbative Method] | |
| QCD beta-Function [Background Field Formalism] | |
| Lecture Notes in CW |
