Theory of Elementary Particles

U. Tokyo graduate course, 2017 summer semester

Objectives

The course is virtually "Quantum Field Theory III," although we have applications to high-energy physics primarily in mind.
During the first half of this course, UV divergence, renormalization and renormalization group are discussed.
In the latter half, we start off with soft/collinear (IR) divergence, and will proceed to factorization theorem.

Various aspects of the Standard Model (such as electroweak symmetry breaking, quark/lepton masses and mixings) should be covered by other courses.
                Subatomic Physics     (s. semester, senior and graduate students),
                Elementary Particle Physics II     (a. semester, senior and grad students),
                Elementary Particle Physics III     (s. semester, grad students).

Prerequisite: We assume that students attending this course are familiar with tree-level computations using Feynman rules, already, or at least by late April.

Hours and Rooms: Tuesdays 10:25--12:10 at room 206, Rigakubu 1 Goukan (Hongo Campus)

Instructor: Taizan Watari,   Kavli IPMU, Kashiwa Campus

Language: Whenever an international student is in the classroom, English is used for explanation. Questions in Japanese are also welcome all the time during the class, however.

Announcement:
                (5) Homework submission final deadline: August 8.
               

Lecture Notes and Homework Problems: (see general instruction on homework problems)

Apr. 11: note-01 ----- Feynman rules
                                          [For references, see the week-3 entry of the QFT II course]
Apr. 18: note-02 ----- self-energy, UV divergence, regularization
                                          [7.1, 7.2, 6.3]
Apr. 25: note-03 hw-03 regularization, renormalized perturbation theory (on-shell)
                                          [7.1, 7.2, 10.2, 10.3]        
May 02: note-04 hw-04 renormalized perturbation theory (cont'd)
                                          [10.2, 10.3, 6.3]
May 09: note-05 ----- degree of divergence, renormalizability
                                          [10.1, 10.4, 7.4]
May 16: note-06 ----- renormalization in non-renormalizable models, renormalization group
                                          [[W-I 12.3, W-II 19.5], 12.2, 12.3, 7.5]
May 23: note-07 hw-07 dim. regularization, Wilsonian interpretation
                                          [7.5, 11.4, 12.1, 12.4]        
June 06: note-08 ----- Wilsonian interpretation, low-energy effective theory, operator product expansion
                                          [12.1, 12.4, [W-I 12.3, 12.4], 18.2--18.5, [W-II 20.1--20.3, 20.6]]

From week-2 to week-8 (June 6): UV divergence and renormalization
From week-9 to week-15 (July 25): soft/collinear divergece and factorization

June 13: note-09 hw-09 soft and collinear divergence, their cancellation
                                          [[St 2.1--2.3], 6.1, 6.4, 6.5]
June 20: note-10 ----- Cutkosky rule, total hadronic cross section
                                          [[St 2.1--3.3], 17.2, 18.4]
June 27: note-11 ----- OPE, DIS, structure functions, Mellin transformation
                                          [[pink 4.1], 17.3, 18.5]
July 04: note-12 ----- PDF, DGLAP equation
                                          [[pink 4.3], 17.5, 18.5, [W-II 20.6]]
July 11: note-13 ----- DGLAP (cont'd), collinear factorization, two scale problems, double log phase space
                                          [Refs. prev. week + [FR 2--4], [BP 8.3, 8.4]]
July 18: note-14 ----- Factorization for Drell-Yan differential cross section: soft factor
                                          [[C 10]]
July 25: note-15 ----- Drell-Yan (cont'd): TMD factorization
                                          [[C 10, 12--14]]


[Advanced homework problems]

Materials not to be covered in this course include anomaly and topology.

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. I often refer to the following textbooks, though, when I prepare for lectures:

[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.
[C] J. Collins, Foundations of Perturbative QCD.
[FR] J. Forshaw and D. Ross, Quantum Chromodynamics and the Pomeron.
[BP] V. Barone and E. Predazzi, High-Energy Particle Diffraction.

[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 [ excellent, good, OK or fail ] based on reports.

All the homework problems will be posted here.
Each homework problem is in either one of categories A, B, C, D and E, and you will pass (excellent, good or OK) if

1 x #[A] + 1.5 x #[B] + 2 x #[C] + 4 x #[D] + 6 x #[E] is 6 or larger.
(if you have not got the credit of the QFT II course, it is OK to include the [B] or [C] problems in the QFT II course, 2016 up to 3 in the formula above.)

Submission: TEP report box at the 2F Physics Administration Office.
                When submitting your report to a post at the door of the admin. office, remember to write "TEP" at the head of your report.
Submission final deadline: August 8.

Reports submitted are not returned, so please keep a copy if you need one.
Sample solutions have been prepared for some of the homework problems: III-1, III-5, IV-1, VII-4, VII-6 + VII-5, IX-4, IX-5, IX-8 + IX-7.
If you have worked on those problems and submitted by July 11, then a copy of the sample solution of the corresponding problem is available at Room 902 (‘æ‚QŽ––±•ªŽº).

After the deadline August 8, a copy of all the 10 sample solutions above will be made available at Room 902 for all the students attended this course (twenty copies will be prepared; first come first served).