Theory of Elementary Particles

U. Tokyo graduate school, 2012 summer semester

Objectives

Basic notions in quantum field theory, such as UV divergence, renormalization, low-energy effective theory and IR divergence, will be discussed during this course.

Hours and Rooms: Mondays 10:30-12:00 at room 206, Rigakubu 1 Goukan (Hongo Campus)

Instructor:

Taizan Watari
Kavli IPMU, Kashiwa Campus
taizan.watari _at_ ipmu.jp

Announcement:
              (3) Reports: Wada-san at Room 902 (Jimu dai-2 Bun-shitsu) will accept reports on behalf of me. Hours: 9:00--12:00, 13:00--17:00.
              (7) Now, all the report (homework) problems have been posted. This course web papge will be left as it is for a while.

Lecture Notes and Homework Problems:

April 09: note-01, hw-01. interaction picture, LSZ reduction formula
                                          [4.2, [W-I 3.1, 3.2], 7.2]
April 16: note-02, hw-02. Feynman rule, loop expansion, self-energy
                                          [4.3, 4.4, 4.6--4.8, 7.1, 7.2, [W-I 4.3], +(4.5, 5.2 for hw)]
April 23: note-03, hw-03. UV divergence and regularization
                                          [6.3, 7.1, [St appendix B], +(7.3 for hw)]
May 07: note-04, hw-04. renormalized perturbation theory (on-shell renormalization)
                                          [10.2, 10.3, 7.5]
May 14: note-05, -----. renormalized perturbation theory (cont'd)
                                          [10.2, 10.3]
May 21: note-06, hw-06. degree of divergence, renormalizability
                                          [10.1, 10.4, 7.4]
May 28: note-07, -----. renormalized perturbation of non-renormalizable theories, renormalization group
                                          [[W-I 12.3, W-II 19.5], 12.2, 12.3]
June 04: note-08, hw-08. dim. regularization, Wilsonian interpretation
                                          [7.5, 11.4, 12.1, 12.4]
June 11: note-09, -----. Wilsonian interpretation, low-energy effective theory, operator product expansion
                                          [12.1, 12.4, [W-I 12.3, 12.4], 18.2--18.5]
June 18: note-10, -----. soft and collinear divergence; their cancellation
                                          [[St 2.1--2.3], 6.1, 6.4, 6.5]
June 25: note-11, hw-11. optical theorem, IR-safe observables, multi-scale problem, OPE
                                          [[St 2.1--3.3], 17.2, 18.4]
July 02: note-12, -----. DIS, structure function, Mellin transform, PDF
                                          [[pink 4.1], 17.3, 18.5 ]
July 23: note-13, -----. DGLAP equation, factorization
                                          [[pink 4.3], 17.5, 18.5, [W-II 20.6]]

Advanced homework problems (all [D]'s): D-1, D-2, D-3 and D-4.

numbers in [     ] are the relevant sections in textbooks and references. When the textbooks or references are not specified, that is [PS] below.

Textbooks and References:

This course is not based on a specific textbook. The textbooks I often use when I prepare for lectures, however, are:

[PS] M. Peskin and D. Schroeder, An Introduction to Quantum Field Theory,
[W-I, II] S. Weinberg, The Quantum Theory of Fields volume I and II.

[St] G. Sterman TASI lecture "Parton, Factorization and Resummation",
[pink] R. Ellis, W. Stirling and B. Webber, QCD and Collider Physics.

Grading Scheme: Letter grading [優, 良, 可 or 不可] based on reports.

All the homeworks will be posted here.
Each homework problem is in either one of categories A, B, C and D, and you will pass (優、良 or 可) if

1 x #[A] + 1.5 x #[B] + 2 x #[C] + 5 x #[D] > (threshold).
See the 2F bulletin board for (threshold).

Deadline: August 27 morning, sharp.