GEOMETRY and PHYSICS:
Introduction to Quantum Field Theory for Mathematicians


Spring 2022, MATH 7590
Tuesdays and Thursdays, 3:00-4:20 PM
138 Lockett Hall

SYLLABUS (pdf)

Lectures:

  • Atiyah-Segal approach to quantum field theory and path integrals (pdf)
  • Some extra geometric background: connections on vector bundles (pdf, pdf)
  • Classical mechanics (pdf, pdf)
  • Relativistic mechanics and classical field theory (pdf, pdf, pdf)
  • Quantum Mechanics: Basics, S-matrix, Path integral approach, Example: Harmonic oscillator (pdf)
  • Quantum Field Theory in the operator formalism: Canonical formalism, Elementary particles via representation theory, Cluster decomposition, Quantum fields (pdf)