Quantum Field Theory, extension 2014 (3 ECTS)

Objectives:

The main theme of this course is to study quantum electrodynamics. We will treat quantization of abelian gauge fields, computations of scattering amplitudes in QED, Loop corrections, Ward-Takahashi identity. If time permits, we will introduce the concept of renormalization. The course is an extension of the course on quantum field theory taught by Alejandra Castro.

Textbooks:

Quantum Field Theory. Mark Srednicki

References:

An Introduction to Quantum Field Theory. Michael E. Peskin, Daniel V. Schroeder

Quantum Field Theory. Claude Itzykson, Jean-Bernard Zuber

Lecture note by David Tong. Quantum Field Theory

Hours and Rooms:

Tuesday (G0.05) in 15:00-17:00 [Warning: Room has changed!] and Thursday (G2.10) in 13:00-15:00 [Warning: Time has changed!]

Period:

Jan. 7th - Jan. 28th

Instructor:

Satoshi Nawata, NIKHEF theory group, H352, snawata [at] gma*l.com

Grading Scheme:

Two sets of homework

Lecture Notes:

Quantization of abelian gauge fields (Itzykson-Zuber Sec. 3.2, Tong Sec. 6, Peskin-Schroeder Sec 9.4)

Scattering amplitude in QED (Srednicki Sec 58-61, Peskin-Schroeder Sec 5)

Loop corrections in QED (Srednicki Sec 14,62, Peskin-Schroeder Sec 7.5)

Electron vertex correction (Srednicki Sec 62-64, Peskin-Schroeder Sec 6.2,6.3)

Ward-Takahashi identity (Srednicki Sec 67,68, Peskin-Schroeder Sec 7.4,9.6)

Renormalization (Peskin-Schroeder Sec 12.1)

Homework:

Homework set I (Due at 3pm on Jan. 21st)   Solution set I (See Peskin-Schroeder Sec 5.5 for Problem 1)

Homework set II (Due at 3pm on Jan. 30th)