Quantum Field Theory Seminar (Spring 2011 -- Spring 2012)
Kevin Costello's mathematical notion of
Perturbative Quantum Field Theory.
All of Costello's work on this topic is available on
his web page
http://www.math.northwestern.edu/~costello
(say, under ``Renormalization'').
1.
The basic text is Costello's book
``Renormalization and effective field theory''
on mathematical foundations of perturbative quantum field theory.
We are interested in chapters 1,2 and 5.
2.
The algebraic aspect of Costello's mathyematical formalism of
perurbative QFT is found in the text
``Factorization algebras in perturbative quantum field theory'',
with Owen Gwilliam.
This appears in a form of a wiki, so some
elementary thought is required in order to print the text
without many ugly repetitions.
[On the Contents list click the
topics that you are interested in.
The section that is clicked will appear
beneath the content list.
Notice that in order to collect the
sections in the correct order, you should acquire them in the
OPPOSITE order, i.e., one should start with the last topic of interest.
3.
One example of how factorization algebras are used is in three papers
of Costello on
``Geometric construction of the Witten genus.''
TIME:
Mondays at 4:00 in 1322 LGRT.
SEMINAR NOTES (unfortunately just a transitional form):
Additional notes: