Faculty of Physics
University of Vienna


Two intensive courses were held in parallel at the

Erwin Schrödinger International Institute for Mathematical Physics

Boltzmanngasse 9, A-1090 Vienna


September 24 - 28, 2007


ESI Schrödinger Lecture Hall

Monday - Friday

09:15-10:45, 14:15 - 15:00 (Harald Grosse)

11:15 - 12:00, 15:30 - 17:00 (Jakob Yngvason)


"Quantum Field Theory and Noncommutative Geometry"

Harald Grosse


Content of the Lectures:

We formulate quantum field theory (QFT) models over noncommutatitve algebras, keeping a differential calculus and replacing fields by projective moduls. Regularization of certain QFT models results. The renormalization problem leads to the IR/UV mixing. Resolving it yields renormalizable noncommutative QFTs. Noncommutative gauge fields are discussed as well.


Differential calculi on algebras, projective modules, formulation of field theories over noncommutative algebras, regularization of models, IR/UV mixing problem, renormalization.

"Local Quantum Field Theory"

Jakob Yngvason


Content of the lectures:

This compact course is conceived as an introduction to the basic principles of relativistic quantum field theory (QFT) in the algebraic formulation together with some important applications.


Observables and Fields, Superselection sectors, the PCT theorem and the modular structure of QFT, scattering theory, QFT on curved space-times.


Attending the courses was free of charge. Financial support for living expenses was available for MSc or PhD students coming from the partner institutions of the "Central European Joint Program of Doctoral Studies in Theoretical Physics".

Theses courses were supported by

The Faculty of Physics of the University of Vienna
The Erwin Schrödinger International Institute of Mathematical Physics

The courses were designed as introduction to the subject of the "4th Vienna Central European Seminar on Particle Physics and Quantum Field Theory", which will take place at the Faculty of Physics of the University of Vienna, Boltzmanngasse 5, A-1090 Vienna, from Friday November 30 to Sunday December 02, 2007.

If you need further information please contact vienna.theor-physik@univie.ac.at

(last updated: 01/10/2007)

http://www.univie.ac.at/vienna.seminar/2007 ,  E-mail: vienna.theor-physik@univie.ac.at