Quantum field theory
Faculteit  Science and Engineering 
Jaar  2019/20 
Vakcode  NAQVT08 
Vaknaam  Quantum field theory 
Niveau(s)  master 
Voertaal  Engels 
Periode  semester I b 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Quantum field theory  
Leerdoelen  At the end of the course, the student is able to: 1. Derive the Feynman rules from a given Lagrangian and calculate cross sections and decay rates in scalar field theories, Yukawa theories and QED at the tree level of the quantised theory. 2. Recognise and explain the symmetry properties of the theories listed in objective 1 and derive the corresponding transformations of the fields and currents. 3. Derive the perturbative expansion of the path integral for the theories in objective 1 and derive the corresponding npoint correlation functions. 4. Classify the operators that contribute to quantum field theories with scalar, vector and spin 1/2 fermion fields in relevant, marginal and irrelevant and determine if the theory is superrenormalisable, renormalisable, or nonrenormalisable. 5. Have a basic understanding of renormalisation and renormalised perturbation theory. 

Omschrijving  This course is devoted to the fascinating subject of field theories and their quantisation through a path integral description. This offers the best way to explore many quantum phenomena both in particle physics and statistical physics, and emphasis is given to their connection. We start with the derivation of the path integral, from quantum mechanics to quantum field theory, and an analysis of its physical properties. In order of increasing complexity we then quantise theories containing scalar, vector and spin 1/2 fermion fields, derive the Feynman rules for these theories and compute cross sections and decay rates for processes at the tree level of the quantised theory. The last part of the course is devoted to Quantum Electrodynamics (QED), an Abelian gauge theory, and we derive the Faddeev Popov quantisation in this case as a pedagogical example that anticipates the nonAbelian case. We also introduce the basics of renormalisation, specifically the dimensional analysis of Lagrangian operators and their classification in superrenormalisable, renormalisable and nonrenormalisable. We explain renormalised perturbation theory for QED, but explicit oneloop calculations are left for later on (Elementary Particles, Master). 

Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Opdracht (ASM), Werkcollege (T)
(32 LC, 16 T, 20 ASM, 72 self study) 

Toetsvorm 
Schriftelijk tentamen (WE)
(WE 100%) 

Vaksoort  master  
Coördinator  prof. dr. E. Pallante  
Docent(en)  M.R. Boers, MSc. ,prof. dr. E. Pallante  
Verplichte literatuur 


Entreevoorwaarden  Quantum mechanics, Relativistic Quantum Mechanics  
Opmerkingen  The exam consists of three to four problems. The last problem is always devoted to objective 1. The first two to three problems probe objectives 2, 3, 4.  
Opgenomen in 
