Two intensive courses were held in parallel
at the
Erwin Schrödinger International Institute
for Mathematical Physics
Boltzmanngasse 9, A1090 Vienna
September 24  28, 2007
ESI Schrödinger Lecture
Hall Monday
 Friday 09:1510:45,
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.
Topics:
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.
Topics:
Observables and Fields, Superselection
sectors, the PCT theorem and the modular structure of
QFT, scattering theory, QFT on curved spacetimes.

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, A1090 Vienna, from Friday November
30 to Sunday December 02, 2007.
If you need further information please contact
vienna.theorphysik@univie.ac.at
(last updated: 01/10/2007)