Universität Wien
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260118 VO Quantum Fields and Geometry (2011S)

2.50 ECTS (2.00 SWS), SPL 26 - Physik

Details

Language: English

Lecturers

Classes (iCal) - next class is marked with N

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

Information

Aims, contents and method of the course

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.

Assessment and permitted materials

Verbal examen

Minimum requirements and assessment criteria

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.

Examination topics

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.

Reading list

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

Association in the course directory

PD250,320

Last modified: Mo 07.09.2020 15:41