Universität Wien

260081 VU Symmetries and Quantum Field Theory (2025S)

5.00 ECTS (3.00 SWS), SPL 26 - Physik
Prüfungsimmanente Lehrveranstaltung
Moodle
Di 29.04. 15:00-19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien

An/Abmeldung

Hinweis: Ihr Anmeldezeitpunkt innerhalb der Frist hat keine Auswirkungen auf die Platzvergabe (kein "first come, first served").

Details

max. 15 Teilnehmer*innen
Sprache: Englisch

Lehrende

Termine (iCal) - nächster Termin ist mit N markiert

Around mid-april there will be a break for 4 slots (the precise dates will be communicated). The remaining 10 slots are scheduled from 15:15 to 18:30.

  • Dienstag 04.03. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 11.03. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 18.03. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 25.03. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 01.04. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 08.04. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 06.05. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 13.05. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 20.05. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 27.05. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 03.06. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 10.06. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Dienstag 17.06. 15:00 - 19:00 Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien

Information

Ziele, Inhalte und Methode der Lehrveranstaltung

The aim of this course is to understand symmetries and their consequences for classical and quantum field theories. In particular, we will focus on some modern applications and developments in current research areas.

The course will primarily be on conceptual aspects and will be illustrated with examples. The exercises are an integral part of the course and will help in understanding the following concepts:

-) Classical field theories: Symmetries versus gauge redundancies, internal and spacetime symmetries, Noether's first and second theorem
-) Basics of quantum field theory: Canonical quantization, path integral, symmetries in quantum field theories, correlation functions
-) Modern aspects of symmetries: A modern perspective on ordinary symmetries, topological operators, higher-form symmetries, conformal field theories

The course will be delivered through in-person blackboard lectures, where we will discuss the exercises in the second part of each slot.

Students should be interested in theoretical physics and fundamental research.
Prerequisites: Classical mechanics, electrodynamics, special relativity, quantum mechanics.
Useful (but can be reviewed if necessary): Basics of differential geometry (differential forms), basic understanding of Lie algebras.
Recommended and complementary: Advanced Particle Physics.

Art der Leistungskontrolle und erlaubte Hilfsmittel

Exercise problems will be distributed via Moodle. The solutions should be uploaded and crossed on Moodle before each exercise.

By crossing an exercise task, one expresses the willingness to present the task on the blackboard. The solution does not have to be complete and correct, but it must be clear you have spent time to understand and try to solve the exercise.

The assessment consists of two parts:

-) 50 points for reasonably solved and crossed exercises
-) 50 points for presentations and participation in the exercise sessions

Mindestanforderungen und Beurteilungsmaßstab

One needs to have reasonably solved half of the exercises and presented at least two of them on the blackboard.

Grades:
From 87.5 points 1
From 75 points 2
From 62.5 points 3
From 50 points 4
Less than 50 points 5

Prüfungsstoff

There is no exam.

Literatur

There is no single source that fully covers the topics of this course. The following resources address some of them but explore the material in much greater depth. This course should equip you with the necessary background to read and understand them.

Olver - Applications of Lie Groups to Differential Equations
Henneaux, Teitelboim - Quantization of gauge systems
Bergshoeff, Figueroa-O'Farrill Gomis - A non-lorentzian primer https://inspirehep.net/literature/2100513

Quantum field theory

Tong - Lectures on Quantum Field Theory https://www.damtp.cam.ac.uk/user/tong/qft.html
Peskin, Schroeder - An Introduction To Quantum Field Theory
Di Francesco, Mathieu, Sénéchal - Conformal Field Theory

Modern aspects

Strominger - Lectures on the Infrared Structure of Gravity and Gauge Theory https://inspirehep.net/literature/1517745
Tong - Lectures on Gauge Theory https://www.damtp.cam.ac.uk/user/tong/gaugetheory.html
Iqbal - Jena lectures on generalized global symmetries: principles and applications https://inspirehep.net/literature/2812087

Zuordnung im Vorlesungsverzeichnis

M-VAF A 2, M- VAF B, Doktorat Physik

Letzte Änderung: Do 20.03.2025 15:46