FU:TFNPV0007 Groups and Sym. in Part. Phys. - Course Information
TFNPV0007 Groups and Symmetries in Particle Physics
Institute of physics in Opavawinter 2022
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Mikuláš Gintner, Ph.D. (lecturer)
prof. Ing. Peter Lichard, DrSc. (lecturer)
RNDr. Mikuláš Gintner, Ph.D. (seminar tutor)
RNDr. Josef Juráň, Ph.D. (seminar tutor) - Guaranteed by
- RNDr. Josef Juráň, Ph.D.
Institute of physics in Opava - Timetable
- each odd Tuesday 13:05–14:40 425, each odd Tuesday 17:15–18:50 425
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- (FAKULTA(FU) && TYP_STUDIA(N))
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Particle physics (programme FU, TFYZNM)
- Computer physics (programme FU, TFYZNM)
- Relativistic astrophysics (programme FU, TFYZNM)
- Course objectives
- This lecture is primarily designed for the students of particle physics. Its main goal is to provide the mathematical foundation for the study of Quantum Field Theory and its applications in particle physics with the focus on the Lie groups and their representations.
- Learning outcomes
- Upon successful graduation from the subject, a student will be able to use the group theory in framework of physical theories.
- Syllabus
- The subject covers the following topics:
- Introduction to the theory of Lie groups and their representations. Lie algebra.
- The rotational group. Infinitesimal transformations. Ireducible representations of SO(3) and SU(2). Matrix representations of the rotational operators. Addition of the angular momenta and the Clebsch-Gordan coefficients.
- Homogenous Lorentz group. Its fundamental properties. Lie algebra and irreducible representations.
- Poincaré transformations. Group properties. Unitary representations.
- Discrete transformations. Parity, charge conjugation, and time inversion.
- Unitary symmetry. The U(1) symmetry and aditive quantum numbers. Isospin and isospin classification of hadrons. SU(3) group and its algebra, irreducible representations.
- The gauge symmetry. Spontanous symmetry breaking.
- The groups of the grand unification.
- Supersymmetries.
- Literature
- required literature
- Costa G., Fogli G.: Symmetries and Group Theory in Particle Physics: An Introduction to Space-Time and Internal Symmetries. Springer, 2012. ISBN-13: 978-3642154812.
- Vergados J. D.: Group and representation theory. World Scientific, 2017. ISBN 978-981-3202-44-3.
- recommended literature
- Ramond P.: Group Theory: A Physicist's Survey. Cambridge, 2010. ISBN-13: 978-0521896030.
- Georgi H.: Lie Algebras In Particle Physics: from Isospin To Unified Theories. CRC Press, 2018. ISBN-13: 978-0738202334.
- Teaching methods
- Monological (lecture, briefing)
Tutorial
Students' self-study
One-to-One tutorial - Assessment methods
- homework
random test
written test
oral and written exam - Language of instruction
- Czech
- Further Comments
- The course can also be completed outside the examination period.
The course is taught annually.
- Enrolment Statistics (winter 2022, recent)
- Permalink: https://is.slu.cz/course/fu/winter2022/TFNPV0007