Quantum Field Theory Lecture Notes, Fall 2007

During the Fall semester of 2007 there was an unusual event at the UC Berkeley mathematics department. For various reasons three professors decided independently to run classes on various aspects of quantum field theory. Two of the professors (Reshetikhin and Teichner) decided to integrate their classes together. This web page is a compilation of lecture notes and links that students may find useful throughout the semester. Each of the course web pages will contain more links and more information specific to each course. Check back frequently for updates. The following lecture notes should be considered preliminary, and may contain errors or typos. Hopefully as the semester progresses these will be discovered and eliminated, but you can help speed along the process by letting the note takers know of any you happen to discover. Your help is always appreciated.

All lecture notes and course material linked by this website are for personal use only. Do not distribute.

Anton Geraschenko has a conglomerate of all his course notes listed in chronological order: PDF Source

Conformal Field Theory and Topological Quantum Field Theory, taught by Nicolai Reshetikhin
- Lecture notes by Chris Schommer-Pries: PDF
- Lecture notes by Anton Geraschenko: Public: PDF Private: PDF
- Paper deriving the Euler-Lagrange equations in a coordinate-free manner: PDF
Super Symmetric Field Theories and Generalized Cohomology, taught by Peter Teichner
- Lecture notes by Chris Schommer-Pries: PDF
- Lecture notes by Anton Geraschenko: PDF
- Homework: HW1 HW2 HW3 HW4 HW5
- Projects: PDF
- References:
  - Graeme Segal, The definition of conformal field theory, Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal, edited by U. Tillmann, Cambridge University Press 2004, p. 421-577.
  - Stephan Stolz and Peter Teichner, What is an elliptic object? same volume, p. 247-343.
  - Juan A. Navarro Gonzalez and Juan B. Sancho de Salas, Smooth Differentiable Spaces. Lecture Notes in Mathematics, 1824. Springer-Verlag, Berlin, 2003. xiv+188 pp.
Richard Borcherd's seminar/mini-course on Quantum Field Theory.
- Notes by Chris Schommer-Pries: PDF
- Notes by Anton Geraschenko: Public: PDF Private:
Topological Conformal Field Theory Seminar run by Peter Teichner
- Notes by Chris Schommer-Pries: PDF
- Papers by Kevin Costello:
Topology Colloquium and Student Topology Seminar talks on QFT.
- Notes by Chris Schommer-Pries: to appear. (Some of these are in the TCFT notes above).
- Bruce Driver has some lecture notes on path integrals on his website.
  - Path Integrals over Euclidean Spaces
  - Path Integrals over a Manifold