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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 outcome

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

Admission

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.

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Prerequisites

Formal prerequisite knowledge

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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 might be advantageous.

Overlapping courses

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.

Access to teaching

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Examination

Oral exam in spring semester.

Examination support material

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Language of examination

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Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

You may request an explanation of your grades, and you may also appeal against your grades or make a complaint about formal examination errors. Read more about explanations and appeals.

Resit an examination

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.

Withdrawal from an examination

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Special examination arrangements

If you have a disability or a health problem that entails significant inconvenience in an examination situation, you may be considered for special examination arrangements. Mothers who are breastfeeding may apply for extra time to complete the exam.

Evaluation

Feedback from our students is essential to us in our efforts to ensure and further improve the high quality of our programmes and courses. All courses are subject to continuous evaluation. At regular intervals we also ask students on a particular course to participate in a more comprehensive, periodic evaluation of this course.

Facts about this course

Credits

10

Level

PhD

Teaching

Spring 2011

If the course is offered, a minimum of four students is required for ordinary lectures to take place. If less than four students participate, an exam will be given, but one should not expect ordinary teaching.

Examination

Spring 2011

Teaching language

Norwegian (English on demand)

Semester pages

Teaching schedule, syllabus, examination date