Universität Wien FIND

Due to the COVID-19 pandemic, changes to courses and exams may be necessary at short notice (e.g. cancellation of on-site teaching and conversion to online exams). Register for courses/exams via u:space, find out about the current status on u:find and on the moodle learning platform. NOTE: Courses where at least one unit is on-site are currently marked "on-site" in u:find.

Further information about on-site teaching and access tests can be found at https://studieren.univie.ac.at/en/info.

250043 VO Gauge theory, Lagrangians, and Symmetries (2020W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Registration/Deregistration

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Thursday 01.10. 09:30 - 11:00 Digital
Tuesday 06.10. 09:30 - 11:00 Digital
Thursday 08.10. 09:30 - 11:00 Digital
Tuesday 13.10. 09:30 - 11:00 Digital
Thursday 15.10. 09:30 - 11:00 Digital
Tuesday 20.10. 09:30 - 11:00 Digital
Thursday 22.10. 09:30 - 11:00 Digital
Tuesday 27.10. 09:30 - 11:00 Digital
Thursday 29.10. 09:30 - 11:00 Digital
Tuesday 03.11. 09:30 - 11:00 Digital
Thursday 05.11. 09:30 - 11:00 Digital
Tuesday 10.11. 09:30 - 11:00 Digital
Thursday 12.11. 09:30 - 11:00 Digital
Tuesday 17.11. 09:30 - 11:00 Digital
Thursday 19.11. 09:30 - 11:00 Digital
Tuesday 24.11. 09:30 - 11:00 Digital
Thursday 26.11. 09:30 - 11:00 Digital
Tuesday 01.12. 09:30 - 11:00 Digital
Thursday 03.12. 09:30 - 11:00 Digital
Thursday 10.12. 09:30 - 11:00 Digital
Tuesday 15.12. 09:30 - 11:00 Digital
Thursday 17.12. 09:30 - 11:00 Digital
Thursday 07.01. 09:30 - 11:00 Digital
Tuesday 12.01. 09:30 - 11:00 Digital
Thursday 14.01. 09:30 - 11:00 Digital
Tuesday 19.01. 09:30 - 11:00 Digital
Thursday 21.01. 09:30 - 11:00 Digital
Tuesday 26.01. 09:30 - 11:00 Digital
Thursday 28.01. 09:30 - 11:00 Digital

Information

Aims, contents and method of the course

The aim of this course is to provide the background for some fundamental geometric and algebraic concepts underlying basic constructions in the Standard Model of Particle Physics. The lectures will be based on selected material from Chapters 6-8 of Hamilton’s recent book [1], but we also offer detailed lecture notes at https://www.mat.univie.ac.at/~mike/teaching/ws2021/LNGHMK.pdf
The key notions we plan to discuss are pseudo-orthogonal groups, Clifford algebras, spinor representations, spin groups, spin structures, spinor bundles, spin covariant derivatives, Dirac operators, Yang-Mills theory, gauge-invariant Lagrangians on associated vector bundles, symmetry breaking and Higgs mechanism.

Assessment and permitted materials

(Digital) oral exam

Minimum requirements and assessment criteria

The prerequisites to follow the course are (a) a firm background in differential geometry and linear algebra along with (b) knowledge of Lie groups and principal fiber bundles comparable with the material in corresponding master courses from winter term 2019/20 and summer term 2020. For a successful exam, a thorough understanding of the definitions, results, and proofs has to be shown in detailed answers to questions.

Examination topics

As provided in the lecture notes.

Reading list

[1] Mark J.D. Hamilton: Mathematical Gauge Theory, Springer Universitext 2017.
- Additional references are included in the lecture notes
https://www.mat.univie.ac.at/~mike/teaching/ws2021/LNGHMK.pdf

Association in the course directory

MGEV

Last modified: Mo 22.02.2021 10:29