Syllabus for Advanced Quantum Field Theory

Avancerad kvantfältteori

Syllabus

  • 10 credits
  • Course code: 1FA159
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Physics A1F

    Explanation of codes

    The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:

    First cycle
    G1N: has only upper-secondary level entry requirements
    G1F: has less than 60 credits in first-cycle course/s as entry requirements
    G1E: contains specially designed degree project for Higher Education Diploma
    G2F: has at least 60 credits in first-cycle course/s as entry requirements
    G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
    GXX: in-depth level of the course cannot be classified.

    Second cycle
    A1N: has only first-cycle course/s as entry requirements
    A1F: has second-cycle course/s as entry requirements
    A1E: contains degree project for Master of Arts/Master of Science (60 credits)
    A2E: contains degree project for Master of Arts/Master of Science (120 credits)
    AXX: in-depth level of the course cannot be classified.

  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2010-03-18
  • Established by:
  • Revised: 2018-08-30
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: week 30, 2019
  • Entry requirements: Advanced quantum mechanics or equivalent background. Relativistic quantum mechanics and an introductory course in quantum field theory (e.g. 1SV03) is recommended.
  • Responsible department: Department of Physics and Astronomy

Learning outcomes

On completion of the course, the student should be able to:

  • use the pathintegral formalism to quantize an arbitrary field theory with both bosonic and fermionic fields
  • derive the Feynman rules for a gauge theory using pathintegrals
  • derive the Higgs mechanism and spontaneous symmetry breaking
  • use the renormalisation group and how to regularize in an arbitrary gauge-theory
  • derive the BRST symmetry and to analyse in examples how it mirrors gauge invariance in the quantum theory
  • explain the phenomenon of anomalies and to calculate them in a number of examples
  • explain basic supersymmetry and supersymmetric quantum field theory with applications
  • analyse the conceptual problems that arise in quantizing gravity.

Content

The course establishes the relation of standard canonical quantisation formalism for field theories to path-integral quantisation. The course will also familiarise the students with some basic concepts in advanced quantum field theory such as path-integral quantisation of gauge theories, regularisation and the renormalisation group, BRST-quantisation, Higgs-mechanism, spontaneous symmetry breaking, anomalies and supersymmetry.

Instruction

Lectures

Assessment

Homework assignments, possibly amended by an oral exam. 
 
If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

Syllabus Revisions

Reading list

Reading list

Applies from: week 30, 2019