Universität Wien FIND

260118 VO Quantum Fields and Geometry (2011S)

2.50 ECTS (2.00 SWS), SPL 26 - Physik

Details

Sprache: Englisch

Lehrende

Termine (iCal) - nächster Termin ist mit N markiert

Donnerstag 03.03. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 10.03. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 17.03. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 24.03. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 31.03. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 07.04. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 14.04. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 05.05. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 12.05. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 19.05. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 26.05. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 09.06. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 16.06. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Donnerstag 30.06. 16:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien

Information

Ziele, Inhalte und Methode der Lehrveranstaltung

We will review local quantum field theories and report on the status and methods of constructions.
Next we will introduce differential caluli and define Fuzzy spaces and models over them.
We introduce ideas of noncommutative geometry, modules and the spectral action principle.
Renormalization and the question of renormalizability select particular models.
We introduce the renormalization group and the beta function.
We review approches to quantize gravity and show how one may include gravity effects into quantum field theories.

Art der Leistungskontrolle und erlaubte Hilfsmittel

Verbal examen

Mindestanforderungen und Beurteilungsmaßstab

The unification of quantum field theory models and gravity is still not done, we like to show why there are serious problems and indicate the various directions which have been pushed forward recently.

Prüfungsstoff

Differential geometry has been generalized to noncommutative geometry.
For field theories in four space-time dimensions we have to rely on renormalizability, both together lead to noncommutative quantum fields.

Literatur

An Introduction to Noncommutative Differential Geometry & Its Applications, John Madore, Cambridge University Press

Elements of Noncommutative Geometry, Jose M. Gracia-Bondia, Joseph C. Varilly and Hector Figueroa Birkhauser Boston 2000

Zuordnung im Vorlesungsverzeichnis

PD250,320

Letzte Änderung: Fr 31.08.2018 08:55