Elementary Particle Physics 2

Numbering Code U-SCI00 44203 LJ57 Year/Term 2022 ・ Second semester
Number of Credits 2 Course Type Lecture
Target Year 4th year students or above Target Student
Language Japanese Day/Period Fri.2
Instructor name FUKUMA MASAFUMI (Graduate School of Science Associate Professor)
Outline and Purpose of the Course ***Lectures are offered in Japanese***

Following the course "Elementary Particle Physics 1", we discuss various properties of elementary particles (quarks and leptons) and their interactions (electromagnetic, weak, and strong interactions). Particular emphasis is placed on the Standard Model that describes these interactions from gauge theories. If time permits, we will also discuss "theories beyond the Standard Model", such as string theory.
Course Goals Understand the basics of particle physics, focusing on the Standard Model.
Schedule and Contents Lectures will cover the following:

Chapter 1. Quantization of scalar and Dirac Fields [Weeks 1-4]
1.1 Klein-Gordon equation and the quantization of scalar fields
1.2 Representation theory of the Lorentz group
1.3 Dirac equations and the quantization of Dirac fields

Chapter 2. Gauge Theory [Weeks 5-6]
2.1 U(1) gauge theory and the electromagnetic field
2.2 Non-abelian gauge theory and the Yang-Mills field

Chapter 3. Spontaneous symmetry breaking and the Higgs mechanism [Weeks 7-8]
3.1 Spontaneous breaking of global discrete symmetry
3.2 Spontaneous breaking of global continuous symmetry and Nambu-Goldstone bosons
3.3 Higgs mechanism

Chapter 4. Unified electroweak theory [Weeks 9-12]
4.1 Overview of the Weinberg-Salam model
4.2 Gauge-Higgs sector
4.3 Lepton sector
4.4 Quark sector
4.5 CKM matrix and the CP violation
4.6 Neutrino mass and mixing

Chapter 5. Quarks and strong interactions [Weeks 13-14]
5.1 What are hadrons?
5.2 Quantum chromodynamics and quark confinement

Chapter 6. Towards a Theory Beyond the Standard Model [Week 15]
6.1 Grand Unified Theory
6.2 Quantum gravity theory and string theory
Course Requirements Students are assumed to understand the basics of quantum field theory in addition to the standard contents of electromagnetics and quantum mechanics at the undergraduate level. I recommend taking the following courses offered in the first semester of the 4th year:
- Elementary Particle Physics 1 (Basics of particle physics)
- Special Subjects in Mathematical Physics 2 (Basics of the representation theory of Lie groups and Lie algebras)
Study outside of Class (preparation and review) Students should review the content of the class eac time. A report will be requested at the end of each unit (approximately once every 2-3 weeks). No special preparation is required before the class.
Textbooks Textbooks/References No textbook will be used.
References, etc. - W. N. Cottingham and D.A. Greenwood, "An Introduction to the Standard Model of Particle Physics (2nd ed.)", Cambridge University Press, ISBN: 978-0521852494.

- Francis Halzen and Alan D. Martin, "Quarks and Leptons: An Introductory Course in Modern Particle Physics", Wiley. ISBN: 978-0471887416.

- Howard Georgi, "Lie Algebras in Particle Physics: From Isospin to Unified Theories (2nd ed.)", Westview Press. ISBN: 978-0738202334.

- Howard Georgi, Weak Interactions and Modern Particle Theory, Dover Publications. ISBN: 978-0486469041.
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