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FYS9120 - Advanced quantum field theory

Course content

Gell-Mann-Low theorem. OS-renormalization. Cut-off and dimensional regularization. IR- and UV-divergences. Renormalization of QED, Bloch-Norsieck-result, vacuum-polarization and effective charge. Path integral and functional methods, correlators and generating functionals. Euclidean and finite T-field theory. Grassmann-variables and integration. Renormalization group, MS-renormalization, Callan-Symanzik-equation, beta-function and anomal dimensions. Effective theories. Non-abelean gauge theories, generalized Lorentz-gauge. Faddeev-Popov determinant. Asymptotic freedom and QCD. Electroweak theory, Higgs-mechanism and equivalence theorem.

Learning outcomes

The students will be introduced to advanced methods in quantum field theory. Theoretical aspects are more emphasised than applications.

Admission

This course is primarily intended for PhD students admitted to a program at a Norwegian University or University College. For registration please contact the student administration office in the Department of Physics. PhD students from other faculties at UiO and other universities (than Oslo) must in addition apply as a Visiting PhD Student .

Prerequisites

Formal prerequisites

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 prior knowledge

FYS4170 - Relativistic quantum field theory. FYS4560 - Elementary particle physics might be advantageous.

Overlap

10 credits with FYS5120 - Advanced quantum field theory

Teaching

The course extends over a full semester with 4-6 hours of lectures and colloquia per week.

Exam information

Oral exam in spring semester.

Assessment and grading

Students are awarded either a passing or a failing grade. Read more about the grading system .

An external auditor regularly evaluates the academic quality of the course, including the form of exam used on the course.

Explanations and appeals

Students can request an explanation of their grades, and can also appeal against their grades or make a complaint about formal examination errors. Read more about explanations and appeals

Possibility of make-up exams and re-takes

You can usually resit an exam, but the conditions depend on whether you had a valid reason for absence from the regular exam. Read more about resitting an exam .

Exam options for students with special needs

Students may apply for access to alternative exam resources or exam forms on the basis of chronic illness and/or special needs that create a marked disadvantage to other students in the exam situation. Mothers who are breastfeeding may apply for extra time to complete the exam.

Evaluation of this course

Feedback from our students is essential to us in our efforts to ensure and further improve the high quality of our programmes and courses. As a student at the University of Oslo you will therefore be asked to participate in various types of evaluation of our courses, facilities and services. All courses are subject to continuous evaluation. At regular intervals we also ask students on a particular course to participate in a more comprehensive, in-depth evaluation of this course, a so called "periodic evaluation".

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