Elementary Particles

Faculteit Science and Engineering
Jaar 2021/22
Vakcode WMPH034-05
Vaknaam Elementary Particles
Niveau(s) master
Voertaal Engels
Periode semester II b
ECTS 5
Rooster rooster.rug.nl

Uitgebreide vaknaam Elementary Particles
Leerdoelen At the end of the course, the student is able to:

1.
Calculate cross sections and decay rates in a vast class of quantum field theories with spin 1/2 fermions, spin 0 bosons (scalars) and spin 1 bosons (vectors), that include the Standard Model as an example, to leading order in perturbation theory.

2.
Recognise and explain the symmetry properties of a given (quantum) theory, both Abelian and non-Abelian, and derive the corresponding transformations of the fields and currents.

3.
Describe and implement the spontaneous symmetry breaking of a continuous global or local symmetry (Higgs mechanism).

4.
Classify the operators that contribute to a given quantum field theory in relevant, marginal and irrelevant and determine if the theory is super-renormalisable, renormalisable, or non-renormalisable.

5.
Recognise and describe at a basic level global anomalies, in particular chiral anomalies, in a quantum theory and the cancellation of gauge anomalies.

6.
Compute one loop amplitudes and beta functions using dimensional regularisation, and for a one-coupling theory recognise the UV and IR fate of the theory according to the signs and zeroes of the beta function.
Omschrijving This course aims to explain the quantisation and renormalisation of non-Abelian gauge theories and the physics of elementary particles, the microscopic building blocks of our universe. In particular, we treat the path integral quantisation of non-Abelian SU(N) gauge theories and the Standard Model of particle physics, which describes the strong, the electromagnetic and the weak interactions of elementary particles. Renormalisation is treated in the context of renormalised perturbation theory and the beta functions of the SU(N) and U(1) gauge theories are derived in spacetime dimensions less or equal four, to one loop. We then consider physics beyond the Standard Model (BSM) and the pedagogical example of the SU(5) unification of the electroweak and strong forces.

While analysing a variety of quantum field theories, of which the Standard Model is an example, we pay attention at how the nature of these quantum field theories does depend on the number of space dimensions in which they live. This point of view allows us to better understand how one single tool, i.e., quantum field theory, can describe a chain of quantum spins in a one-dimensional material as well as ultrarelativistic elementary particles in four (or more) spacetime dimensions.
Uren per week
Onderwijsvorm Hoorcollege (LC), Opdracht (ASM), Werkcollege (T)
(LC 42, LC 2, T4, ASM 40, self study 52)
Toetsvorm Schriftelijk tentamen (WE)
(WE 33%, WE 67%)
Vaksoort master
Coördinator prof. dr. E. Pallante
Docent(en) M.R. Boers, MSc. ,prof. dr. E. Pallante
Verplichte literatuur
Titel Auteur ISBN Prijs
Book (chapters)

Quantum Field Theory in a Nutshell
A. Zee

Book (chapters)

An Introduction to Quantum Field Theory
M.E. Peskin, D.V. Schroeder
Book (chapters)

Quantum field Theory and the Standard Model
M.D. Schwartz
Book (chapters)

Quantum Field Theory
F. Mandl, G. Shaw
Handouts

Elementary Particle Physics
M. de Roo

Handouts

Notes on Regularisation and Renormalisation
E. Pallante
Entreevoorwaarden This course is the continuation of the Quantum Field Theory course (Master, Ib). It assumes knowledge of quantum mechanics and some knowledge of quantum field theory, specifically the quantisation of Abelian gauge theories, e.g., Quantum Electrodynamics.

The needed background knowledge can be acquired in the following courses:
Quantum Mechanics I, II (Bachelor) Relativistic Quantum Mechanics (Bachelor), Quantum Field Theory (Master), Mathematical Methods (Master)
Opmerkingen Final exam grade must be equal or higher than 6

This course was registered last year with course code NAEP-08
Opgenomen in
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