Quantum Field Theory II (QFT-II)

Spring Semester 2009 (1387-2)
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 12:30-13:30
Schedules:
Semester starts on: Monday 14 of Bahman 1387
Semester ends on: Saturday 9th  of Khordad 1388
Homework: Every two weeks
Midterm exam: Monday 24th  of Farvardin 1388
Final Exam: Saturday 20th of Tir 1388
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

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
Your Score: Schedule % of your final score
Homeworks Every two weeks %30
Midterm Exam 02/02/88 %70
Final Exam TBA
Seminar talks TBA
Lectures: pdf-files Date pdf-files Date pdf-files Date
Lecture 1 Lecture 10 Conference Lecture 19 05/02/88 Midterm-Ex
Lecture 2 19/11/87 Lecture 11 24/12/87 Lecture 20 07/02/88
Lecture 3 21/11/87 Lecture 12 26/12/87 Lecture 21 12/02/88
Lecture 4 26/11/87 Lecture 13 15/01/88 Lecture 22 14/02/88 Ex-Class
Lecture 5 03/12/87 Lecture 14 17/01/88 Lecture 23 19/02/88
Lecture 6 05/12/87 Lecture 15 22/01/88 Lecture 24 21/02/88
Lecture 7 Conference Lecture 16 24/01/88 Lecture 25 26/02+28/02/88
Lecture 8 Conference Lecture 17 29/01/88 Lecture 26 02/03+04/03/88
Lecture 9 Conference Lecture 18 31/01/88 Lecture 27 09/03+11/03/88
Lecture Notes: pdf-files          
Lecture Notes
Homeworks: Problem Set   Due to:
Set 1 28/11/87 05/12/87
Set 2 and 3 26/12/87 17/01/88
Midterm Exam 05/02/88  
Set 5 14/02/88 21/02/88
Set 6 28/02/88 04/03/88
Final Exam TBA  
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
[2] J.M. Cornwall, R. Jackiw and E. Tomboulis, Phys. Rev. D10, 2428 (1974)
[3] K.G. Wilson and J. B. Kogut, Phys. Rept 12, 75 (1974)
[4] J. Polchinski, Nucl. Phys. B 231, 269 (1984)
[5] D. B. Kaplan, arXiv: Nucl-th/9506035
[6] J. Berges, N. Tetradis and C. Wetterich, Phys. Rept. 363, 233 (2002), [arXiv: hep-ph/0005122]
Seminar Schedule:
Time Speaker