Mathematical Structures
in Quantum Field Theory
and Statistical Mechanics

Lectures at Universität Heidelberg, Spring 2019


Manfred Salmhofer, Institut für Theoretische Physik


After a brief overview about the many mathematical structuress arising from quantum field theory and statistical mechanics, we shall focus mainly on analytic and combinatorial structures and their role in the mathematically rigorous construction of models of QFT and statistical mechanics.

Prerequisites: quantum theory, real and complex analysis, linear algebra, elements of functional analysis. A basic knowledge of QFT and statistical mechanics will be helpful for following this class.

This is a two-hour course with additional discussion/tutorial sessions. Lectures take place Thursdays, 4-6 pm, starting April 18, 2019, in großer Hörsaal, Philosophenweg 12. The tutorial and discussion sessions take place after the lecture, Thursdays at 6 pm, in the same room.
PLEASE NOTE THE FOLLOWING CHANGE: The lectures in July take place Tuesdays, 9:15-10:45, in Hörsaal 2, Kirchhoff-Institut, INF 227 (no lectures on Thursday).

Details on the format and possible adjustments of the schedule, about the literature, and about requirements for credits will be announced in class.