MATH 6260, Geometry of Quantum Fields,
Dr. Markus Pflaum
The course will provide an introduction to the geometric description of
quantum field theories. Topics include symplectic mechanics and deformation quantization,
classical field theory within the jet bundle formalism, lorentzian geometry, symmetries in
quantum mechanics, axioms of a quantum field theory and an outlook to mathematical approaches
for rigorous constructions of perturbative and non-perturbative quantum field theories.
Lecture Hours and Venue:
MWF 2:30 pm - 3:20 pm, ECCR 118.
Mon. 3:30 pm - 4:30 pm, Wed. 10:00 am - 11:00 am, and by appointment
Homework assignments will be given here.
In addition to the homework, each student has to work on a course project and write a short paper (around 5 pages)
which will be presented in class. A selection of possible topics will be provided
here, but you can propose your
Your grade will be determined from the talk and the course project.
Folland, G.B., Quantum Field Theory : A Tourist Guide for Mathematicians, AMS (2008).
Takhtajan, L.A., Quantum Mechanics for Mathematicians, AMS (2008).
Streater, R.F. and Wightman, A.S., PCT, Spin, Statistics, and All That, Basic Books.
The CRing Project
The FANCy Project
The Geometry of Classical and Quantum Fields
Last modified: Sat, August 26, 2023