Quantum Field Theory II (QFT-II)
| Spring Semester 2012 (1390-91-2) |
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| Lecturer: | Neda Sadooghi |
| Office: | Room 333, Physics Department |
| Time: | Saturdays and Mondays, 8:30-10:30 |
| Place: | CEP Seminar Room 517, Physics Department |
| Office hours: | Saturdays 11:30-12:30 |
| Schedules: |
| Semester starts on: | Saturday 15 of Bahman 1387 | |
| Semester ends on: | 10th of Khordad 1388 | |
| Final Exam: | Take Home (Due to Tir 10, 1391) |
| References: | ||
| M.E. Peskin and D.V. Schroeder | An Introduction to QFT - Part II | |
| S. Weinberg | The Quantum Theory of Fields | |
| S. Pokorski | Gauge Field Theory | |
| L. H. Ryder | QFT | |
| C. Itzykson and J. B. Zuber | QFT | |
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See also: |
D.I. Kazakov | Radiative corrections, arXiv:0901.2208 |
| Contents: | ||
| Part I: Quantum Electrodynamics; 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 | ||
| Special Topic: Composite Operator Renormalization and Operator Mixing | ||
| Special Topic: Spectral Function; Kaellen-Lehmann Representation | ||
| Part II: Path Integral Quantization; Functional Methods | ||
| Path-Integral in QM and QFT | ||
| Path-Integral Quantization and Feynman Rules for Bosons and Fermions | ||
| Generating Functional for Free Fields | ||
| Generating Functional for Interacting Fields | ||
| Generating Functional for Connected Diagrams | ||
| Generating Functional for One Particle Irreducible (1PI) Diagrams | ||
| Ward-Takahashi Identities in QED | ||
| 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 Identities | ||
| QCD beta-Function (perturbative method) | ||
| QCD beta-function (background field formalism) | ||
| One-loop Effective action of linear sigma model and its renormalization | ||
| Spontaneous Symmetry Breaking (Goldstone Mechanism + Classical Proof of Goldstone Theorem) | ||
| Your Score: | Schedule | % of your final score | ||||
| Final Exam | TBA | 70 | ||||
| Seminar talks | TBA | 30 | ||||
| Lectures: | pdf-files | Date | pdf-files | Date | pdf-files | Date |
| Lecture 1 | 15/11/90 | Lecture 10 | 20/12/90 | Lecture 19 | 11/02/91 | |
| Lecture 2 | 17/11/90 | Lecture 11 | 22/12/90 | Lecture 20 | 18/02/91 | |
| Lecture 3 | 24/11/90 | Lecture 12 | 19/01/91 | Lecture 21 | 23/02/91 | |
| Lecture 4 | 29/11/90 | Lecture 13 | 21/01/91 | Lecture 22 | 25/02/91 | |
| Lecture 5 | 01/12/90 | Lecture 14 | 26/01/91 | Lecture 23 | 30/02/91 | |
| Lecture 6 | 06/12/90 | Lecture 15 | 28/01/91 | Lecture 24 | 01/03/91 | |
| Lecture 7 | 08/12/90 | Lecture 16 | 02/02/91 | Lecture 25 | 06/03/91 | |
| Lecture 8 | 13/12/90 | Lecture 17 | 04/02/91 | Lecture 26 | 08/03/91 | |
| Lecture 9 | 15/12/90 | Lecture 18 | 09/02/91 | Lecture 27 | ||
| Lecture Notes: | pdf-files | |||||
| Lecture Notes | ||||||
| Homeworks: | Problem Set | Due to: | ||||
| Final Exam (Take Home) | Tir 10, 1391 | |||||
| The Scores: | |||
| Final Scores |
| Term Papers: | |
| Topics: | |
| [1] | Wilsoninan Renormalization |
| [2] | Effective Action for Composite Operators |
| [3] | Epsilon Expansion |
| [4] | Renormalization and Effective Lagrangians |
| [5] | Effective Field Theory |
| [6] | Non-Perturbative Renormalization Flow in QFT and Statistical Physics |
| References: |
| [1] | Peskin and Schroeder Chapter 12 and 13 |
| [4] | J. Polchinski, Nucl. Phys. B 231, 269 (1984) |
| Seminar Schedule: |
| Time (9:00-10:30) | Speaker and time | |
| Chapter 12 | Saturday 20/03/1391 | B. Kasmaei and Sh. Asnafi |
| Polchinski's paper | Sunday 21/03/1391 | A. Akhshik |
| Chapter 13 | Monday 22/03/1391 | O. Hajizadeh |