Advanced QFT I - WS 1401-02 (2022-23)

General Information

• Lecturer: Neda Sadooghi
• Office: Room 519, Physics Department
• Time: Saturdays and Mondays 13:30 - 15:30
• Place: Partovi Auditorium 412, 4th Floor
• Office Hours:  By arrangement (Contact: sadooghi@sharif.edu)

Course Schedules

• Semester starts on: Monday 1401/06/27
• Semester ends on: Monday 1401/10/05
• Midterm Exam on: Monday 1401/09/07 at 01:30 PM
• Final Exam on: Wednesday 1401/111/05 at 09:00 AM

References

• 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

Scores

• Homeworks: 4 Points
• Midterm Exam: 6 Points
• Final Exam: 10 Points
• Written term paper (Voluntary): 1 Point (Bonus)

Content

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

	Mondays	Saturdays
Week 01:	L01:1401/06/28	L02:1401/07/02
Week 02:	L03:1401/07/04	L04:1401/07/09
Week 03:	L05:1401/07/11	L06:1401/07/16
Week 04:	L07:1401/07/18	L08:1401/07/23
Week 05:	L09:1401/07/25	L10:1401/07/30
Week 06:	L11:1401/08/02	L12:1401/08/07
Week 07:	L13:1401/08/09	L14:1401/08/14
Week 08:	L15:1401/08/16	L16:1401/08/21
Week 09:	L17:1401/08/23	L18:1401/08/28
Week 10:	L19:1401/08/30	L20:1401/09/05
Week 11:	L21:1401/09/07 (MT)	L22:1401/09/12
Week 12:	L23:1401/09/14	L24:1401/09/19
Week 13:	L25:1401/09/21	L26:1401/09/26
Week 14:	L27:1401/09/28	L28:1401/10/03
Week 15:	L29:1401/10/05