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Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals.
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English
English [CC]
FREE
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Description
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 content
- 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
Instructor
Massachusetts Institute of Technology
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