2023-2024 / SPAT0160-1

Particles ans astroparticles


20h Th, 10h Pr

Number of credits

 Master in space sciences (120 ECTS)4 crédits 


Jean-René Cudell

Language(s) of instruction

English language

Organisation and examination

Teaching in the second semester


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

Detailed study of the standard model of particle physics and of some of its consequences in astrophysics.

1. Gauge invariance, relation with GR, large transformations, Wilson loop.
2. Yang-Mills theories, SU(2), SU(3)
3. SU(3): Lagrangian, Feynman rules
4. Problems R1

5. Ghosts, gauge invariance
6. Inclusive quantities, naïve parton model, Callan-Gross relations
7. Problems R2

8. Splitting functions
9. Evolution ("DGLAP") equations, factorization
10. Problems R2, 2nd discussion

11. Glashow's model and symmetry breaking
12. Goldstone's theorem and hidden symetries
13. Non-abelian hidden symetries and the standard model
14. Problems R3

15. Fermion masses
16. CP violation
17. Problems R4 

18. Feynman rules of the standard model
19. Higgs and Z0 production and decay
20. Problems R5

Learning outcomes of the learning unit

At the end of the course, students will be able:
1) to understand the principles on which the standard model is built;
2) to calculate elementary processes in quantum chromodynamics;
3) to calculate elementary processes in electroweak theory;
4) to build elementary extensions of the standard model ;
5) to appreciate the strong points and the weaknesses of the current theory.

Prerequisite knowledge and skills

Basics of quantum field theory (SPAT0162-1 or an equivalent course)

Planned learning activities and teaching methods

This course is based on lectures,  and to discussion sessions where problems (see the course webpages for the list) are discussed, as shown in the table of contents. The problems will be solved by the students, under the guidance of the instructor. Preparing them is strongly advised.

Mode of delivery (face to face, distance learning, hybrid learning)

The references for each lecture, notes and the list of problems are available on the course web pages.

Recommended or required readings

M. Peskin and D. Schroeder, "An Introduction to Quantum Field Theory",1995, Addison-Wesley Advanced Book Program. Copies are available and will be distributed at the beginning of the year.

Exam(s) in session

Any session

- In-person

written exam ( open-ended questions ) AND oral exam

Additional information:

Written exam, followed by a discussion. The first question is on the theory, and the list of possible questions is available on the course web pages (it is subject to change during the year). The second question (given after the theory question is returned) is an open-book exercise. The written part lasts 4 hours.

Work placement(s)

Organisational remarks and main changes to the course

The course will be organised in 20 one-and-a-half-hour lectures/discussion sessions (see contents).


Jean-René Cudell
Institute of physics 19A Allée du 6 août Bldg B5a (4th floor, room 4/44) University of Liège Tel.: 04/3663654
E-mail: jr.cudell@ulg.ac.be
Web pages: http://www.theo.phys.ulg.ac.be

Association of one or more MOOCs