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Last updated:

December 20, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals.

It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory.

Course Curriculum

  • Generalities on Quantum Field Theory Unlimited
  • The Steepest Descent and Stationary Phase Formulas Unlimited
  • Feynman Calculus Unlimited
  • Matrix Integrals Unlimited
  • The Euler Characteristic of the Moduli Space of Curves Unlimited
  • Matrix Integrals and Counting Planar Diagrams Unlimited
  • Quantum Mechanics Unlimited
  • Operator Approach to Quantum Mechanics Unlimited
  • Fermionic Integrals Unlimited
  • Quantum Mechanics for Fermions Unlimited
  • Free Field Theories in Higher Dimensions Unlimited

About the instructor

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Massachusetts Institute of Technology
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