Elementary Particles
Faculteit  Science and Engineering 
Jaar  2020/21 
Vakcode  WMPH03405 
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 nonAbelian, 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 superrenormalisable, renormalisable, or nonrenormalisable. 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 onecoupling 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 nonAbelian gauge theories and the physics of elementary particles, the microscopic building blocks of our universe. In particular, we treat the path integral quantisation of nonAbelian 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 onedimensional 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 


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 NAEP08 

Opgenomen in 
