Advanced Quantum Field Theory I (QFT-I)

Winter Semester 2020 (99-1400-1)
Lecturer: Neda Sadooghi
Office: Room 519, Physics Department
Time: Saturdays, Sundays and Mondays, 17:00-19:00
Place: Online: https://vc.sharif.edu/ch/sadooghi
Office hours: Saturdays 10:30-11:30
Schedules:
Semester starts on: 1399/08/15
Semester ends on: TBA
Final Exam: TBA
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
M. D. Schwartz QFT and the SM model
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)
Your Score: Schedule % of your final score
Midterm Exam 35%
Final Exam 35%
Home works   30%
Lectures: pdf-files Date pdf-files Date pdf-files Date
Review Mat Lecture 0 1-2-3-4 Lecture 10-R 08/09/99 Lecture 20-R 30/09/99
Lecture 1-R 17/08/99 Lecture 11-R 09/09/99 Lecture 21-R 01/10/99
Lecture 2 18/08/99 Lecture 12-R 10/09/99 Lecture 22-R 06/10/99
Lecture 3-R 19/08/99 Lecture 13-R 15/09/99 Lecture 23-R 07/10/99
Lecture 4-R 24/08/99 Lecture 14-R 16/09/99 Lecture 24-R 08/10/99
Lecture 5-R 25/08/99 Lecture 15-R 17/09/99 Lecture 25-R 13/10/99
Lecture 6-R 26/08/99 Lecture 16-R 22/09/99 Lecture 26-R 14/10/99
Lecture 7-R 01/09/99 Lecture 17-R 23/04/99 Lecture 27-R 15/10/99
Lecture 8-R 02/09/99 Lecture 18-R 24/09/99 Lecture 28 20/10/99
Lecture 9-R 03/09/99 Lecture 19-R 29/09/99 Lecture 29 21/10/99
Homeworks: Problem Set Upload Due:
Set-1 08/09/99 22/09/99
Midterm Exam 12/10/99 27/10/99
Final take Home 20/10/99 11/11/99
   
Presentations:

Title of the talks and Program

 شماره موضوع

نام و نام خانوادگی دانشجویان

تاریخ ارائه

1

آقای شوشتری

18/11/99 (شنبه) ساعت 11 تا 12

2

آقایان مرادی و صادقیان

18/11/99 (شنبه) ساعت 5 تا 7

3

آقایان سیری و اسماعیلی

19/11/99 (یکشنبه) ساعت  5 تا 7

4

خانم فداکارو آقای مرتضوی

20/11/99 (دوشنبه) ساعت  5 تا 7

 لیست موضوعات در این لینک است.