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1. Course title

Path Integral Quantization of Gauge Field Theories

2. Course code


3. Course status: optional

-Which degree programme is responsible for the course?

Master's programme in Particle and Astrophysical sciences

-Which module does the course belong to?

PAP3002 Advanced Studies in Particle Physics and Cosmology
optional for

  • Study Track in Particle Physics and Cosmology

-Is the course available to students from other degree programmes?


4. Course level (first-, second-, third-cycle/EQF levels 6, 7 and 8)

-Master’s level= second cycle degree/EQF level 7

5. Recommended time/stage of studies for completion

-The recommended time for completion may be, e.g., after certain relevant courses have
been completed.

6. Term/teaching period when the course will be offered

Spring term, period IV, odd years

7. Credit value of the course


8. Teacher coordinating the course

Anca Tureanu

9. Course learning outcomes

-Description of the learning outcomes provided to students by the course
- See the competence map (

10. Course completion methods

-Will the course be offered in the form of contact teaching, or can it be taken as a distance
learning course?
-Description of attendance requirements (e.g., X% attendance during the entire course or
during parts of it)
-Methods of completion

11. Prerequisites

-Description of the courses or modules that must be completed before taking this course or
what other prior learning is required

Quantum field theory I; recommended Quantum field theory II

12. Recommended optional studies

-What other courses are recommended to be taken in addition to this course?
-Which other courses support the further development of the competence provided by this

13. Course content

Brief introduction to path integral as solution of diffusion equation. Path integrals in quantum mechanics. Quantization of systems with constraints. Path integrals in quantum field theory; generating functional; Schwinger action principle.
Grassmann variables and path integrals for fermionic fields. Path integral quantization in QED. Path integral quantization of non-Abelian gauge field theories; Faddeev-Popov ghosts. Symmetries in functional formalism; Ward-Takahashi identities.

14. Recommended and required literature

M. Chaichian and N.F. Nelipa: Introduction to Gauge Field Theories, Springer-Verlag 1984.

R.P. Feynman and A.R. Hibbs: Quantum Mechanics and Path Integrals, McGraw-Hill 1965.

M. Chaichian and A. Demichev: Path Integrals in Physics, Volumes I & II, IoP 2001.

15. Activities and teaching methods in support of learning

-See the competence map (
-Student activities
-Description of how the teacher’s activities are documented

16. Assessment practices and criteria, grading scale

-See the competence map (
-The assessment practices used are directly linked to the learning outcomes and teaching
methods of the course.

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