FYS9120 – Advanced Quantum Field Theory
Schedule, syllabus and examination date
Changes in the course due to coronavirus Spring 2020
Teaching and examinations will take place digitally. This may result in changes to your schedule, mandatory activities, exam form and grading scale. See updated information on the semester page and in Canvas.
The main aim of this course is to achieve a modern understanding of quantum field theory, with special emphasis on the principles underlying the Standard model of particle physics. This includes the importance and interpretation of regularization and renormalization, the geometric structure of gauge theories and functional quantization. The structure of the ground state (the vacuum in particle physics), including its symmetry breaking and excitations (particles), are derived directly from the generating functional (partition function) by using "thermodynamic potentials" borrowed from statistical mechanics. The vacuum structure of abelian (QED) and non-abelian (QCD) gauge theories is analyzed using dimensional regularization. The energy, electrical permittivity and magnetic permeability of empty space explain why the coupling constants (charges) are not constant, and why the magnetic moment of the electron is not given by Dirac’s theory.
Other key words are: path integrals, correlation functions, Wick rotation, Feynman rules, Grassmann calculus, functional determinants, renormalization group, Callan-Symanzik equation, beta-functions, anomalous dimensions, asymptotic freedom, electroweak theory, Goldstone’s theorem, group theory, Higgs mechanism and mixing angles.
The students will be introduced to advanced methods in quantum field theory. Theoretical aspects are more emphasised than applications.
Admission to the course
PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.
If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.
PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.
Formal prerequisite knowledge
In addition to fulfilling the minimum requirements for entrance to higher education in Norway, you must either have 2MX/2MY/3MZ and 3MX/3FY/3KJ/3BI/(2KJ+3BT)/(2BI+3BT) from Norwegian upper secondary school, or have completed equivalent studies in mathematics as well as physics, or chemistry, or biology at upper secondary school or university level at another educational institution. Read more about fulfilling special requirements.
Recommended previous knowledge
FYS4170 – Relativistic Quantum Field Theory. FYS4560 – Elementary particle physics (discontinued) might be advantageous.
- 10 credits overlap with FYS5120 – Advanced Quantum Field Theory.
The course is only offered as self-study with some instructions the spring of 2020.
The course extends over a full semester with 4 hours of lectures per week.
Project assignment to be handed in on topic agreed upon with lecturer (40%). Final oral exam (60%).
It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: FYS5120 – Advanced Quantum Field Theory
Grades are awarded on a pass/fail scale. Read more about the grading system.
Resit an examination
This course offers both postponed and resit of examination. Read more: