Theory of elementary particles / 素粒子論 (2019)


Place and time

10:25-12:10, Mondays; Hongo campus, Building 1, Room #206.

Broadcasted also to Kashiwa campus: IPMU building, Balcony B on 5th floor.

Overview

This slot has traditionally been used essentially as "Quantum Field Theory III" following "Quantum Field Theory I and II" in our curriculum. The content of this "QFT III" has varied over the years, depending on the lecturer. See e.g.

In this 2019 incarnation, I am going to review various theoretical aspects of quantum field theory underlying the Standard Model. Experimental and more practial aspects of the Standard Model will be covered in the slots "Elementary Particle Physics I, II and III".

(In the electronic syllabus on UTAS, I said that I would talk about basic quantum gravity, but it turned out that it was too ambitious and I am not yet prepared enough to do that.)

Evaluation

Students need to turn in a term-end paper (レポート in the Japanese parlance) at the end of the term. You should upload a PDF file from here. The deadline is tentatively set to August 11, 23:59 JST.

The content can be anything related to quantum field theory and/or elementary particle physics. For example, you can solve some of the exercises mentioned in the lecture notes. You do not have to turn it in after every class. You just have to submit it only once at the end of the semester.

Lecture notes

Notes are available here. (Last update: July/26/2019)

TeX files etc. are kept on a git repo. Please send me pull requests, or just an ordinary email, if you find any typos or more serious errors.

Plan

Date Abstract
April 8 Path integrals and Feynman diagrams, 0+1d QFT, the Casimir effect
April 15 Lagrangian of the Standard Model. The cancellation of the gauge anomalies
April 22 Derivation of the gauge anomalies
April 29 No lecture (golden week)
May 6 No lecture (golden week)
May 13 Higgs mechanism 1
May 20 Higgs mechanism 2
May 27 Running of the coupling constants
June 3 No lecture (due to viral gastroenteritis)
June 10 Strongly-coupled gauge theory 1
June 17 No lecture (I'll be attending a summer school as a lecturer)
June 24 Strongly-coupled gauge theory 2
July 1 Effective theory of pions
July 8 Baryons as topological solitons in the effective theory of pions
July 15 No lecture (Day of the Sea)
July 22 On effective field theories
July 29 Quantum gravity as a quantum field theory

When you have questions...

Please ask during and/or after the lectures. You can also email me.

Textbooks

There is no specific textbook I follow. More generally, I would suggest the following textbooks (in no particular order):


email: yuji.tachikawa_at_****.**