18.238 | Spring 2023 | Graduate

Geometry and Quantum Field Theory

Course Description

The main goal of this course is to present the basic ideas of quantum field theory (QFT) in a completely rigorous and mathematical way. Topics of the course include generalities on classical and quantum mechanics and field theory, 0-dimensional QFT, 1-dimensional QFT, d-dimensional QFT, supergeometry and field theories …
The main goal of this course is to present the basic ideas of quantum field theory (QFT) in a completely rigorous and mathematical way. Topics of the course include generalities on classical and quantum mechanics and field theory, 0-dimensional QFT, 1-dimensional QFT, d-dimensional QFT, supergeometry and field theories with fermions, and an introduction to 2-dimensional conformal field theory.
Learning Resource Types
Online Textbook
Lecture Notes
Problem Sets
Two figures: a twisted-fat graph and a Feynman diagram (two curves on a 2D plane).
Two figures from the lecture notes show (a) a Twisted-fat graph and (b) a Feynman diagram. (Figures courtesy of the instructor.)